Ws maths catalogue2015

C o n n e c t i n g G r e a t M i n d s 2015Catalogue

MATHEMATICS

Mathematics Catalogue 2015

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by Shigeru Kanemitsu & Haruo Tsukada (Kinki

University, Japan)

by Edgar G Goodaire (Memorial University, Canada)

by J Yeh (University of California, Irvine, USA)

by Yong Zhou (Xiangtan University, China)

by H Scott Dumas (University of Cincinnati, USA)

by Lynn Harold Loomis &Shlomo Sternberg (Harvard University,

USA)

edited by Shijun Liao (Shanghai Jiao Tong University,

China)

edited by Norden E Huang (National Central University, Taiwan) &

Samuel S P Shen (San Diego State University, USA)

by Jay Kappraff (New Jersey Institute of Technology, USA)

by Mohammed Hichem Mortad (University of Oran, Algeria)

by Nik Weaver (Washington University in St. Louis, USA)

by Dipak K Sen (University of Toronto, Canada)

edited by Ralf Metzler (University of Potsdam, Germany & Tampere

University of Technology, Finland), Gleb Oshanin

(Université Pierre et Marie Curie, France) & Sidney Redner (Boston

University, USA)

by John G Papastavridis (Georgia Institute of Technology, USA)

by Tatiana Tatarinova (University of Glamorgan, UK), Alan Schumitzky (University of

Southern California, USA)

by Konstantin Borovkov (The University of Melbourne,

Australia)

Highlights

Algebra & Number Theory ................................... 4

Analysis & Differential Equations ......................... 6

Approximation Theory ........................................ 11

Coding Theory & Cryptography ......................... 11

Combinatorics & Graph Theory .......................... 11

Complex Analysis ................................................. 13

Fluid Mechanics ................................................... 13

General Mathematics .......................................... 14

Geometry & Topology ......................................... 16

Mathematical Modeling ..................................... 19

Mathematical Physics .......................................... 22

Numerical Analysis &

Computational Mathematics .............................. 26

Optimization & Control Theory .......................... 28

Probability & Statistics ........................................ 29

Stochastic Analysis ............................................... 33

Journals ........................................................... 34-37

Proceedings ......................................................... 38

Title Index ............................................................ 39

Author Index ....................................................... 40

Order From .......................................................... 42

c o n t e n t s

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ALGEBRA & NUMBER THEORY ..............................4

ANALYSIS & DIFFERENTIAL EQUATIONS ...............6

CODING THEORY AND CRYPTOGRAPHY ..............13

COMBINATORICS & GRAPH THEORY.....................13

COMPLEX ANALYSIS ..............................................14

FLUID MECHANICS .................................................15

GENERAL MATHEMATICS .......................................16

GEOMETRY & TOPOLOGY .....................................18

LOGIC AND SET THEORY ........................................20

MATHEMATICAL MODELING .................................21

MATHEMATICAL PHYSICS ......................................22

NUMERICAL ANALYSIS AND COMPUTATIONAL

MATHEMATICS ..................................................25

OPTIMIZATION AND CONTROL THEORY...............25

PROBABILITY & STATISTICS ....................................26

STOCHASTIC ANALYSIS ..........................................29

JOURNALS ...............................................................30

PROCEEDINGS .........................................................34

TITLE INDEX ............................................................35

AUTHOR INDEX ......................................................36

ORDER FORM ..........................................................38


4

ALGEBRA & NUMBER THEORY

New Developments in the Additive Theory of Prime Numbersby Jianya Liu & Tao Zhan (Shandong University, China)

The Waring – Goldbach problem seeks to represent positive integers satisfying necessary congruence conditions by powers of primes. The circle method of Hardy and Littlewood in combination with the estimates of Vinogadov for exponential sums over primes gives an affirmative answer to the general Waring – Goldbach problem. In recent years, new ideas using the circle method, sieves, and exponential sums have been incorporated into the Waring – Goldbach problem, encouraging remarkable advances. The purpose of this book is to introduce some of these new ideas, illustrated by dealing with the Waring – Goldbach problem for lower degrees.

Readership: Researchers and graduate students in number theory.

200pp Nov 2015978-981-277-592-4 US$88 £58 Doing MathematicsConvention, Subject, Calculation, Analogy (2nd Edition)by Martin H Krieger (University of Southern California, USA)

Review of the First Edition: “Both challenging and provocative reading, Doing Mathematics sheds bright light on some of the main characteristics of the mathematical quest.”

Library of Science

Readership: Mathematicians, physicists, philosophers and historians of science.

500pp Aug 2015978-981-4571-83-8 US$86 £57978-981-4571-84-5(pbk) US$52 £34978-981-4571-85-2(ebook) US$112 £74

Series on Number Theory and Its Applications Contributions to the Theory of Zeta-FunctionsThe Modular Relation Supremacyby Shigeru Kanemitsu & Haruo Tsukada (Kinki University, Japan)

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.

Readership: Graduate students and researchers in functional equations and special functions.

280pp Jan 2015978-981-4449-61-8 US$88 £58978-981-4449-62-5(ebook) US$114 £75

Series on Number Theory and Its Applications - Vol 3Multi-Dimensional Langlands Functoriality PrincipleNotes on M M Kapranov’s Workby Kâzım Ilhan Ikeda (Yeditepe University, Istanbul, Turkey)

This book aims at providing an introductory, detailed and up-to-date study of Kapranov’s seminal work, “Analogies between topological quantum field theory and Langlands correspondence”, published in 1995, which is the first paper in literature discussing the formal framework and the formulation of higher-dimensional Langlands correspondence, together with closely related recent works of Kazhdan, Parshin and others.

Readership: Graduate students and mathematicians interested in number theory and mathematical physics.

200pp Dec 2014978-981-283-831-5 US$68 £45

:: Textbook Computational and Algorithmic Linear Algebra and N-Dimensional Geometryby Katta G Murty (University of Michigan, Ann Arbor, USA)

This undergraduate textbook on Linear Algebra and n-Dimensional Geometry, in a self-teaching style, is invaluable for sophomore level undergraduates in mathematics, engineering, business, and the sciences. These are classical subjects on which there are many mathematics books in theorem-proof style, but this unique volume has its focus on developing the mathematical modeling as well as computational and algorithmic skills in students at this level. The explanations in this book are detailed, lucid, and supported with numerous well-constructed examples to capture the interest and encourage the student to master the material.

Readership: Undergraduate students in linear algebra and n-dimensional geometry.

572pp Sep 2014978-981-4366-62-5 US$134 £88978-981-4366-63-2(pbk) US$78 £51

Lecture Notes on Algebraic Structure of Lattice-Ordered Ringsby Jingjing Ma (University of Houston-Clear Lake, USA)

This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book. The book is largely self-contained and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.

Readership: Graduate students in algebra and number theory.

260pp May 2014978-981-4571-42-5 US$58 £38978-981-4571-43-2(ebook) US$75 £49

5

Linear Algebra with Applicationsby Roger Baker & Kenneth Kuttler (Brigham Young University, USA)

This book gives a self- contained treatment of linear algebra with many of its most important applications. It is very unusual if not unique in being an elementary book which does not neglect arbitrary fields of scalars and the proofs of the theorems. It will be useful for beginning students and also as a reference for graduate students and others who need an easy to read explanation of the important theorems of this subject. Most major topics receive more than one discussion, one in the text and others being outlined in the exercises. The book also gives directions for using maple in performing many of the difficult algorithms.

Readership: Undergraduates in linear algebra.

332pp May 2014978-981-4590-53-2 US$76 £50

Linear AlgebraPure & Appliedby Edgar G Goodaire (Memorial University, Canada)

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well.

Readership: Undergraduates in mathematics.

732pp Nov 2013978-981-4508-36-0 US$125 £83978-981-4508-37-7(pbk) US$72 £48

Fixed Point Theorems and Their Applicationsby Ioannis Farmakis & Martin Moskowitz (City University of New York, USA)

“The book presents interest mainly by some more special fixed point theorems in algebraic topology, algebraic geometry, and differential and symplectic geometry, as well as by the interesting applications of fixed point results to various areas of mathematics. Written in a way that the chapters can be used independently it appeals to a large audience.”Adrian Petrusel

Stud. Univ. Babes-Bolyai Math

Readership: Graduate students and professionals in analysis, approximation theory, algebra and geometry.

248pp Sep 2013978-981-4458-91-7 US$88 £58978-981-4458-92-4(ebook) US$114 £75

Functional Equations on Groupsby Henrik Stetkær (Aarhus University, Denmark)

This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups.

Readership: Advanced undergraduates, graduates and professional mathematicians interested in harmonic analysis and/or functional equations.

396pp Sep 2013978-981-4513-12-8 US$108 £71978-981-4513-13-5(ebook) US$140 £92

Monographs in Number Theory - Vol 7The Theory of Multiple Zeta Values with Applications in Combinatoricsby Minking Eie (National Chung Cheng University, Taiwan)

This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations and shuffle relations. The volume will benefit graduate students doing research in number theory.

Readership: Graduate students and researchers in number theory.

312pp Jul 2013978-981-4472-63-0 US$99 £65978-981-4472-64-7(ebook) US$129 £85

:: Textbook

Lectures on the Theory of Group Properties of Differential Equations by L V Ovsyannikov (Lavrentyev Institute of Hydrodynamics, Russia)edited by Nail H Ibragimov (Blekinge Institute of Technology, Sweden)

These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author’s remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.

Readership: Professional mathematics researchers and graduate students.

156pp Jul 2013978-981-4460-81-1 US$52 £34


6

Undergraduate ConvexityFrom Fourier and Motzkin to Kuhn and Tuckerby Niels Lauritzen (Aarhus University, Denmark)

“Compared to most modern undergraduate math textbooks, this book is unusually thin and portable. It also contains a wealth of material, presented in a concise and delightful way, accompanied by figures, historical references, pointers to further reading, pictures of great mathematicians and snapshots of pages of their groundbreaking papers. There are numerous exercises, both of computational and theoretical nature. …”

MathSciNet

Readership: Undergraduates focusing on convexity and optimization.

300pp Jun 2013978-981-4412-51-3 US$78 £51978-981-4452-76-2(pbk) US$38 £25978-981-4412-52-0(ebook) US$101 £66

Homological AlgebraIn Strongly Non-Abelian Settingsby Marco Grandis (Universitàdi Genova, Italy)

In this study of ‘semiexact’ and ‘homological’ categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied. This is a sequel of a book on ‘Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups’ by the same Editor, but can be read independently of the latter.

Readership: Graduate students, professors and researchers in pure mathematics, in particular category theory and algebraic topology.

356pp Mar 2013978-981-4425-91-9 US$128 £84978-981-4425-92-6(ebook) US$166 £110

:: BestsellerSeries on Knots and Everything - Vol 49Hopf Algebrasby David E Radford (University of Illinois at Chicago, USA)

“A big number of exercises of different level of difficulty are proposed along the text, which include in particular special features or applications to a variety of concrete examples, further results and categorical aspects of the corresponding material. Interesting and up-to-date historical and bibliographical comments are provided at the end of each of the sixteen chapters.”

Zentralblatt MATH

Readership: Mathematicians, physicists, philosophers and historians of science.

472pp Jan 2012978-981-4335-99-7 US$112 £74978-981-4338-66-0(ebook) US$146 £96

:: Bestselling TextbookNumber Theory and Its Applicationsby Fuhuo Li (Sanmenxia SuDa Transportation Energy Saving Technology Co., Ltd, China), Nianliang Wang (Shangluo University, China) & Shigeru Kanemitsu (Kinki University, Japan)

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state.

Readership: Advanced undergraduate students, graduate students and researchers interested in algebra through number-theoretic examples, number-theoretic control systems, etc.

208pp Jan 2013978-981-4425-63-6 US$52 £34

Notable BacklistA Mathematical Bridge: An Intuitive Journey in Higher Mathematics (2nd Edition) Stephen Hewson

Introduction to Algebraic Geometry and Commutative Algebra Dilip P Patil (Indian Institute of Science, India) & Uwe Storch (Ruhr University, Germany)

Discrete Mathematics: Proof Techniques and Mathematical Structures R C Penner (University of Southern California)

ANALYSIS & DIFFERENTIAL EQUATIONS

How to Measure the InfiniteNumerosities and Nonstandard Analysisby Vieri Benci & Mauro Di Nasso (Universitàdi Pisa, Italy)

This book provides a comprehensive exposition of a new way of counting (countable) infinite sets, in particular, numerosities that maintain the ancient Aristotle’s principle: “The whole is larger than its parts.” It also contains an original introduction to nonstandard analysis. The basic principles are presented in an elementary way by using the ordinary language of mathematics. This is to be contrasted with other introductions, where technical notions from logic are used which are not familiar to most mathematicians.

Readership: Advanced undergraduate and graduate students in mathematics and philosophy.

200pp Nov 2015978-981-283-637-3 US$78 £51

The Segal-Bargmann Transform on Euclidean Space and GeneralizationsAn Introduction to Harmonic Analysis and Hilbert Spaces of Holomorphic Functionsby Gestur Olafsson (Louisiana State University, USA)

The main topic of this lecture note is the interplay between real and complex analysis using the heat equation and the Segal-Bargmann transform. The first part of the text is on the level of advanced undergraduate students and beginning graduate students. The second half is more advanced and leads the reader into the theory of Hilbert spaces of holomorphic functions and abstract harmonic analysis.

Readership: Graduate students and researchers in analysis & differential equations and complex analysis.

300pp Nov 2015978-981-4277-50-1 US$75 £50

7

Series on Partial Differential Equations and Applications Solution Set of Semilinear Elliptic EquationsGlobal Bifurcation and Exact Multiplicityby Junping Shi (College of William & Mary, USA)

This volume provides a unified approach to the problem of exact multiplicity and global bifurcation of semilinear elliptic equations, demonstrating applications of modern bifurcation theory to important nonlinear equations in physics, chemistry and biology. In particular, it lucidly presents a systematic theory of precise bifurcation diagrams for the development of radially symmetric solutions over the last thirty years.

Readership: For researchers and graduate students in nonlinear partial differential equations; applied mathematics; mathematical physics; mathematical biology; also in the fields of physics, biology, chemistry, material sciences, chemical engineering, marine sciences, ecology.

250pp Aug 2015978-981-277-594-8 US$65 £45 Special Functions in Fractional Calculus and Related Fractional Differintegral Equationsby Hari M Srivastava (University of Victoria, Canada) & R K Raina (M P University of Agriculture and Technology, India)

This book is an attempt to co-ordinate the disciplines of fractional calculus and special functions in a potentially useful manner and would serve a dual purpose: in providing key formulas and identities involving special functions and also in opening up some novel avenues of applications of fractional calculus. Problems are included in each chapter.

Contents: Special Functions; Fractional Calculus and Its Applications; Fractional Differintegral Equations

Readership: Researchers in mathematical sciences.

300pp Jul 2015978-981-4551-10-6 US$98 £65978-981-4551-11-3(ebook) US$127 £85 :: Textbook

Concise Calculusby Sheng Gong & Youhong Gong (University of Science and Technology of China, China)

This book is based on Professor Sheng Gong’s 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

Readership: Undergraduate students in mathematics, physics, engineering and computer science. 550pp Jul 2015978-981-4291-48-4 US$88 £58978-981-4291-49-1(pbk) US$48 £32

:: Exercise with Solutions included Convergence Foundations of Topologyby Szymon Dolecki (Burgundy University, France), Frederic Mynard (Georgia Southern University, USA)

The textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. A number of exercises (with solutions) form an essential part of the text. Additional problems for each chapter are included (without solutions).

Readership: Undergraduates, graduates and academia in the field of analysis and differential equations, and topology.

350pp May 2015978-981-4571-51-7 US$94 £62978-981-4571-52-4(pbk) US$60 £40

Differential Operators on Spaces of Variable Integrabilityby David E Edmunds (University of Sussex, UK), Jan Lang (The Ohio State University, USA) & Osvaldo Mendez (The University of Texas at El Paso, USA)

The main focus of this book is to provide a solid functional analytic background for the study of differential operators on spaces with variable integrability. It includes some novel stability phenomena which the authors have recently discovered. The authors present a concise, natural introduction to the basic material and steadily move toward differential operators on these spaces, leading the reader quickly to current research topics.

Readership: Graduates and researchers interested in differential operators and function spaces.

200pp Oct 2014978-981-4596-31-2 US$58 £38978-981-4596-32-9(ebook) US$75 £49 Basic Theory of Fractional Differential Equationsby Yong Zhou (Xiangtan University, China)

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations. It is self-contained and unified in presentation, and provides readers the necessary background material required to go further into the subject and explore the rich research literature. Based on research work carried out by the author and other experts during the past four years, the contents are very new and comprehensive.

Readership: Graduate students and researchers in the fields of fractional differential equations, fractional calculus and related areas of research.

330pp Jul 2014978-981-4579-89-6 US$108 £71978-981-4579-90-2(ebook) US$140 £92


8

Real AnalysisTheory of Measure and Integration (3rd Edition)by J Yeh (University of California, Irvine, USA)

Reviews of the Previous Editions:

“Every concept is defined precisely and every theorem is presented with a detailed and complete proof.”

Mathematics Abstracts

“It is particularly suitable for a one-year course at the graduate level.”

Zentralblatt MATH

The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.

Contents: Measure Spaces; The Lebesgue Integral; Differentiation and Integration; The Classical Banach Spaces; Extension of Additive Set Functions to Measures; Measure and Integration on the Euclidean Space; Hausdorff Measures on the Euclidean Space; Appendices: Digital Expansion of Real Numbers; Measurability of Limits and Derivatives; Variation and Oscillation of Functions; Lipschitz Condition and Bounded Derivatives; Uniform Integrability

Readership: Mathematicians and graduate students in analysis & differential equations, statistics and electrical engineering.

830pp Jul 2014978-981-4578-53-0 US$135 £89978-981-4578-54-7(pbk) US$68 £45

:: Study Guide Problems and Proofs in Real AnalysisTheory of Measure and Integrationby J Yeh (University of California, Irvine, USA)

This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).

Readership: Mathematicians and graduate students in analysis & differential equations.

500pp Mar 2014978-981-4578-50-9(pbk) US$68 £45

Infinite-Dimensional Dynamical Systems in Atmospheric and Oceanic Scienceby Boling Guo & Daiwen Huang (Institute of Applied Physics and Computational Mathematics, China)

The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given.

Readership: Graduate and postgraduate students in Mathematics; Mathematicians and Physicists majoring in atmospheric and oceanic dynamics.

350pp Jun 2014978-981-4590-37-2 US$98 £65978-981-4590-38-9(ebook) US$127 £85

Frontiers in Differential Geometry, Partial Differential Equations and Mathematical Physics In Memory of Gu Chaohaoedited by Molin Ge (Chern Institute of Mathematics, China), Jiaxing Hong, Tatsien Li (Fudan University, China) & Weiping Zhang (Chern Institute of Mathematics, China)

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime. All contributors to this book are close friends, colleagues and students of Gu Chaohao, all are excellent experts among whom there are 9 members of the Chinese Academy of Sciences.

Readership: Mathematicians and advanced graduate students in mathematics.

372pp May 2014978-981-4578-07-3 US$78 £51978-981-4578-09-7(ebook) US$101 £66

Series on Concrete and Applicable Mathematics - Vol 14Evolution Equations with a Complex Spatial Variableby Ciprian G Gal (Florida International University, USA), Sorin G Gal (University of Oradea, Romania) & Jerome A Goldstein (The University of Memphis, USA)

This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black – Merton – Scholes, Schrö dinger and Korteweg – de Vries equations.

Readership: Graduates and researchers in partial differential equations and in classical analytical function theory of one complex variable.

204pp May 2014978-981-4590-59-4 US$78 £51978-981-4590-60-0(ebook) US$101 £66

:: Textbook

9

:: TextbookSeries on Analysis, Applications and Computation - Vol 6An Introduction to Pseudo-Differential Operators (3rd Edition)by M W Wong (York University, Canada)

The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. New chapters notwithstanding, the elementary and detailed style of earlier editions is maintained in order to appeal to the largest possible group of readers. The focus of this book is on the global theory of elliptic pseudo-differential operators on Lp(Rn). The main prerequisite for a complete understanding of the book is a basic course in functional analysis up to the level of compact operators.

Readership: Graduate students in the fields of analysis and differential equations, researchers who aspire to do research in pseudo-differential operators and related topics.

196pp May 2014978-981-4583-08-4 US$38 £25

The KAM StoryA Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov – Arnold – Moser Theoryby H Scott Dumas (University of Cincinnati, USA)

“The mathematics is described in a very engaging style, with the focus being on ‘ideas and motivation’. … The book gives a very illuminating and inspiring account of how mathematical results are developed over time and across cultures in the broad context of the development of one of the great rigorous mathematical results of the last century — the KAM theorem.”

Prof Stephen Wiggins University of Bristol

Readership: Undergraduates, graduates, and researchers broadly interested in Hamiltonian perturbation theory, statistical mechanics, ergodic theory, Nekhoroshev theory, Arnold diffusion, nonlinear dynamics, dynamical systems, chaos theory, classical mechanics, and the history of these subjects.

380pp May 2014978-981-4556-58-3 US$75 £50

:: Classic TextbookAdvanced Calculus (Revised Edition)by Lynn Harold Loomis (Harvard University, USA), Shlomo Sternberg (Harvard University, USA)

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.

Contents: Introduction; Vector Spaces; Finite-Dimensional Vector Spaces; The Differential Calculus; Compactness and Completeness; Scalar Product Spaces; Differential Equations; Multilinear Functionals; Integration; Differentiable Manifolds; The Integral Calculus on Manifolds; Exterior Calculus; Potential Theory in En; Classical Mechanics

Readership: Undergraduates in mathematics.

596pp Apr 2014978-981-4583-92-3 US$78 £51978-981-4583-93-0(pbk) US$30 £20

Harmonic and Spectral Analysisby László Székelyhidi (University of Debrecen, Hungary)

This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis.

Readership: Graduate students and researchers in the fields of harmonic analysis and functional analysis.

248pp Apr 2014978-981-4531-71-9 US$82 £54978-981-4531-72-6(ebook) US$107 £70

Half-Discrete Hilbert-Type Inequalitiesby Bicheng Yang (Guangdong University of Education, China), Lokenath Debnath (University of Texas-Pan American, USA)

This monograph deals with half-discrete Hilbert-type inequalities. By means of building the theory of discrete and integral Hilbert-type inequalities, and applying the technique of Real Analysis and Summation Theory, some kinds of half-discrete Hilbert-type inequalities with the general homogeneous kernels and non-homogeneous kernels are built. The relating best possible constant factors are all obtained and proved. The equivalent forms, operator expressions and some kinds of reverses with the best constant factors are given. As applications, a large number of examples with particular kernels are also discussed.

Readership: Graduate students and professional researchers in mathematics.

348pp Feb 2014978-981-4504-97-3 US$115 £76978-981-4504-98-0(ebook) US$150 £99

Notable BacklistSecond Order Parabolic Differential Equations G M Lieberman (Iowa State University)

Applied Analysis John K Hunter & Bruno Nachtergaele (University of California, Davis)

Direct Methods in the Calculus of Variations Enrico Giusti (Università di Firenze, Italy)


10

Matrix Spaces and Schur MultipliersMatriceal Harmonic Analysisby Lars-Erik Persson (LuleåUniversity of Technology, Sweden & Narvik University College, Norway), Nicolae Popa (“Simion Stoilov” Institute of Mathematics, Romanian Academy, Romania & Technical University “Petrol si Gaze”, Romania)

This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis.

Readership: Graduates and mathematicians interested in this new area of matriceal harmonic analysis but also researchers in areas using harmonic analysis, wavelets etc., e.g. signal processing and image analysis.

208pp Feb 2014978-981-4546-77-5 US$64 £42978-981-4546-78-2(ebook) US$83 £55

Bochner – Riesz Means on Euclidean Spacesby Shanzhen Lu (Beijing Normal University, China), Dunyan Yan (University of Chinese Academy of Sciences, China)

This book mainly deals with the Bochner – Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner – Riesz means and important achievements attained in the last 50 years.

Readership: Graduate students and researchers in mathematics.

388pp Nov 2013978-981-4458-76-4 US$128 £84978-981-4458-77-1(ebook) US$166 £110

:: Textbook

Measure Theory and Functional Analysisby Nik Weaver (Washington University in St. Louis, USA)

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author’s notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.

Readership: Graduates students in mathematics (pure and applied) in their first or second year, graduate students in physics or engineering, and economics.

212pp Sep 2013978-981-4508-56-8 US$88 £58

:: Textbook Series on Applied Mathematics - Vol 21Ordinary Differential Equations with Applications (2nd Edition)by Sze-Bi Hsu (National Tsing Hua University, Taiwan)

Review of the First Edition: “The book under review is a well-written textbook on ODE, suitable for advanced undergraduate or first year graduate students in Mathematics or Physical Sciences ... The abundance of examples from physical and biological sciences and engineering to show the applications of the theorems presented in the text adds to the value of the book.”

Zentralblatt MATH

Readership: Graduate students in mathematics, applied mathematics, and engineering.

312pp Aug 2013978-981-4452-90-8 US$54 £36

World Scientific Series on Nonlinear Science Series A - Vol 86Elements of Mathematical Theory of Evolutionary Equations in Banach Spacesby Anatoly M Samoilenko (National Academy of Sciences, Ukraine), Yuri V Teplinsky (Kamyanets-Podilsky National University, Ukraine)

“The chapters are written so that they are almost independent of each other. The present monograph is helpful to specialists who are concerned with the relevant mathematical problems.”

Zentralblatt MATH

Readership: Graduate students and researchers working in the field of analysis and differential equations.

408pp Jul 2013978-981-4434-82-9 US$128 £84978-981-4434-83-6(ebook) US$166 £110

Linear Second Order Elliptic Operatorsby Julián López-Gómez (Complutense University of Madrid, Spain)

Contents: The Minimum Principle; Classifying Supersolutions; Representation Theorems; Existence of Weak Solutions; Regularity of Weak Solutions; The Krein – Rutman Theorem; The Strong Maximum Principle; Properties of the Principal Eigenvalue; Principal Eigenvalues of Linear Weighted Boundary Value Problems

Readership: Graduate students and researchers in analysis and differential equations, mathematical physics and mathematical biology.

356pp Jun 2013978-981-4440-24-0 US$56 £37

11

Oblique Derivative Problems for Elliptic Equationsby Gary M Lieberman (Iowa State University, USA)

“The book is carefully written and can be used by under- and post-graduate students as a textbook for courses in boundary value problems for elliptic operators. Besides that, the book could be of interest for professional mathematicians working in the areas of partial differential equations, operator theory, stochastic processes, etc. Highly recommended text!”

Zentralblatt MATH

Readership: For the professional researcher in mathematics.

528pp May 2013978-981-4415-97-2 US$145 £96978-981-4415-98-9(ebook) US$189 £125

Functional Calculiby Carlos Bosch (Instituto Tecnológico Autónomo de México, México) & Charles Swartz (New Mexico State University, USA)

“However, those colleagues teaching a graduate course on the topic, as well as students wanting to read efficient proofs of the main theorems and see a clear presentation of the main concepts, will most likely enjoy the book.”

Zentralblatt MATH

Readership: Graduate students, mathematicians, physicists or engineers interested in functions of operators.

228pp May 2013978-981-4415-97-2 US$88 £58978-981-4415-98-9(ebook) US$114 £75

Navier-Stokes Equations in Planar Domainsby Matania Ben-Artzi (Hebrew University of Jerusalem, Israel), Jean-Pierre Croisille (Universitéde Lorraine, France) & Dalia Fishelov (Afeka Tel-Aviv Academic College of Engineering, Israel)

“It is well positioned as a reference for both theoretical and applied mathematicians, as well as a book that can be used by graduate students pursuing studies in mathematics, mathematical physics and fluid dynamics.”

Zentralblatt MATH

Readership: Graduate students and researchers in applied mathematics (particularly computational fluid dynamics), partial differential equations, and mathematical physics (specifically nonlinear evolution equations).

316pp May 2013978-1-84816-275-4 US$98 £65978-1-84816-276-1(ebook) US$127 £85

Partial Differential Equations Methods, Applications and Theoriesby Harumi Hattori (West Virginia University, USA)

“Differential equations require different methods of investigation, solutions and approximation. The basic methods that are important and useful in studying PDE›s are also discussed in this book.”

Zentralblatt MATH

This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDE’s.

Readership: Undergraduate students in Math, Science, and Engineering.

392pp Mar 2013978-981-4407-56-4 US$68 £45

Interdisciplinary Mathematical Sciences - Vol. 15Recent Advances in Applied Nonlinear Dynamics with Numerical AnalysisFractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulationsedited by Changpin Li (Shanghai University, China), Yujiang Wu (Lanzhou University, China) & Ruisong Ye (Shantou University, China)

Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.

Readership: Senior undergraduates, postgraduates and experts in nonlinear dynamics with numerical analysis.

416pp Mar 2013978-981-4436-45-8 US$138 £91978-981-4436-46-5(ebook) US$179 £118

:: Textbook

A Guide to Distribution Theory and Fourier Transforms by Robert S Strichartz (Cornell University, USA)

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. This book can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.

Readership: Graduate students and researchers in pure or applied mathematics and related disciplines.

236pp Jun 2003978-981-238-421-8 US$99 £65978-981-238-430-0(pbk) US$56 £37


12

:: Textbook Partial Differential Equations for Scientists and Engineersby Geoff Stephenson (Imperial College, University of London, UK)

This volume introduces the important methods used in the solution of partial differential equations. Written primarily for second-year and final-year students taking physics and engineering courses, it will also be of value to mathematicians studying mathematical methods as part of their course. The text, which assumes only that the reader has followed a good basic first-year ancillary mathematics course, is self-contained and is an unabridged republication of the third edition published by Longman in 1985.

Readership: Mathematics, science and engineering students.

176pp Jul 1996978-1-86094-024-8(pbk) US$39 £26

APPROXIMATION THEORY (APPLIED MATHS)

Wavelet Analysis and Its ApplicationsNumerical Methods, Computer Graphics and Economicsby Tian-Xiao He (Illinois Wesleyan University, USA), En-Bing Lin (Central Michigan University, USA)

This is an introductory, self-contained book on wavelet analysis and its applications, focusing on computer graphics and economics. The only prerequisite is a basic knowledge of calculus and linear algebra.

Contents: Mathematical Introduction; From Haar Function Approximation to Multiresolution Analysis; MRA and Mother Wavelets; Wavelets in Computer Graphics; Wavelets in Economics and Econometrics; Advanced Wavelet Analysis and Additional Applications

Readership: Researchers in mathematics and economics.

250pp Dec 2014978-981-283-400-3 US$88 £58

Approximation of Set-Valued FunctionsAdaptation of Classical Approximation Operatorsby Nira Dyn, Elza Farkhi & Alona Mokhov (Tel Aviv University, Israel)

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors’ motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections.

Readership: Researchers and graduate students in the fields of approximation theory, set-valued analysis, dynamical systems, control and game theory, optimization and geometric modeling.

200pp Oct 2014978-1-78326-302-8 US$88 £58978-1-78326-303-5(ebook) US$114 £75

Interdisciplinary Mathematical Sciences - Vol 16Hilbert – Huang Transform and Its Applications (2nd Edition)edited by Norden E Huang (National Central University, Taiwan) & Samuel S P Shen (San Diego State University, USA)

This book is written for scientists and engineers who use HHT (Hilbert – Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges.

Readership: Applied mathematicians, climate scientists, highway engineers, medical scientists, geologists, civil engineers, mechanical engineers, electrical engineers, economics and graduate students in science or engineering.

350pp Jun 2014978-981-4508-23-0 US$98 £65978-981-4508-24-7(ebook) US$127 £84

:: Advances in the Homotopy Analysis Methodedited by Shijun Liao (Shanghai Jiao Tong University, China)

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. This book, edited by the pioneer and founder of the HAM, describes the current advances of this powerful analytic approximation method for highly nonlinear problems. The authors of each chapter are top experts in the HAM and its applications.

Readership: Graduate students and researchers in applied mathematics, physics, nonlinear mechanics, engineering and finance.

428pp Jan 2014978-981-4551-24-3 US$125 £83978-981-4551-25-0(ebook) US$163 £108

:: Classic Title

The Golden Ratio and Fibonacci Numbersby Richard A Dunlap (Dalhousie University, Canada)

“This attractive and carefully written book addresses the general reader with interest in mathematics and its application to the physical and biological sciences ... this one will make a valuable addition to academic and personal libraries ... ”

The Fibonacci Quarterly

Readership: Applied mathematicians.

172pp Dec 1997978-981-02-3264-1 US$58 £38978-981-238-630-4(ebook) US$76 £50

13

:: Bestselling TextbookA One-Dimensional Introduction to Continuum Mechanicsby A J Roberts (Univ. Southern Queensland)

“The book achieves its stated aims in the sense that students will be encouraged, from the interesting range of phenomena presented, to pursue the subject further, and will not be daunted when they meet key concepts within a three-dimensional framework.”

N Riley Journal of Fluid Mechanics

Readership: Mathematics, physical sciences and engineering students.

172pp Oct 1994978-981-02-1913-0 US$43 £29

COMBINATORICS & GRAPH THEORY

Series on Coding Theory and Cryptology Boolean Functions: Cryptographic And Combinatorial PropertiesFunctions with Symmetryby S Maitra (Indian Statistical Institute, India)

This book discusses cryptographic and combinatorial properties of Boolean functions. In addition to theoretical construction techniques for Boolean functions with different combinatorial and cryptographic properties, the book will concentrate on different state-of-the-art search techniques. Different symmetries in the set of Boolean functions will also be presented in detail. The author will present the inherent beauty of Boolean functions that he has experienced in his research career.

Readership: Researchers in combinatorics and theoretical computer science.

420pp Jun 2015978-981-4327-13-8 US$135 £89

Spanning Tree Results for Graphs and MultigraphsA Matrix-Theoretic Approachby Daniel J Gross, John T Saccoman (Seton Hall University, USA) & Charles L Suffel (Stevens Institute of Technology, USA)

In this work, we consider the o p t i m i z a t i o n p r o b l e m o f maximizing the number of spanning trees among graphs and multigraphs in the same class, i.e. having a fixed number of nodes and a fixed number of edges. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure.

Readership: Graduate students, computer scientists, electrical and computer engineers, and researchers in combinatorics and graph theory.

200pp Dec 2014978-981-4566-03-2 US$75 £50978-981-4566-04-9(ebook) US$98 £65

Notable BacklistA First Course in Integral Equations A M Wazwaz (Saint Xavier Univ., USA)

Introduction to Asymptotics: A Treatment Using Nonstandard Analysis D S Jones (University of Dundee, Scotland)

Wavelets and Renormalization G Battle (Texas A&M University)

CODING THEORY AND CRYPTOGRAPHY Series on Coding Theory and Cryptology - Vol 8Algebraic Geometry Modeling in Information Theoryedited by Edgar Martínez Moro (University of Valladolid, Spain)

Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.

Readership: Researchers in coding theory and cryptography.

336pp Feb 2013978-981-4335-75-1 US$108 £71978-981-4335-76-8(ebook) US$140 £92

Series on Coding Theory and Cryptology - Vol 5Advances in Algebraic Geometry Codesedited by Edgar Martínez-Moro, Carlos Munuera (Universidad de Valladolid, Spain) & Diego Ruano (Technical University of Denmark, Denmark)

This book presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel. The noise in a channel is the corruption of a part of the information due to either interferences in the telecommunications or degradation of the information-storing support (for instance, compact disc). An error-correcting code thus adds extra information to the message to be transmitted with the aim of recovering the sent information.

Readership: Mathematicians, computer scientists, engineers in information theory.

452pp Dec 2008978-981-279-400-0 US$180 £119978-981-279-401-7(ebook) US$234 £155


14

Counting (2nd Edition)by Khee Meng Koh (National University of Singapore, Singapore), Eng Guan Tay (Nanyang Technological University, Singapore)

Review of the First Edition“This book manages to make an area of mathematics traditionally considered difficult by students more accessible and is bound to captivate their attention with the numerous interesting exercises and applications it contains.”


Contents: The Addition Principle; The Multiplication Principle; Subsets and Arrangements; Applications; The Bijection Principle; Distribution of Balls into Boxes; More Applications of (BP); Distribution of Distinct Objects into Distinct Boxes; Other Variations of the Distribution Problem; The Binomial Expansion; Some Useful Identities; Pascal’s Triangle; The Principle of Inclusion and Exclusion; General Statement of the Principle of Inclusion and Exclusion; The Pigeonhole Principle; Recurrence Relations; The Stirling Numbers of the First Kind; The Stirling Numbers of the Second Kind; The Catalan Numbers; Miscellaneous Problems

Readership: Teachers and students in high/secondary schools and colleges, and those interested in combinatorics and graph theory.

224pp Mar 2013978-981-4401-90-6 US$58 £38978-981-4401-91-3(pbk) US$28 £18

:: Solutions Manual CountingSolutions Manual (2nd Edition)by Khee Meng Koh (National University of Singapore, Singapore), Eng Guan Tay (Nanyang Technological University, Singapore)

This book is the essential companion to Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.

Readership: College students and teachers in combinatorics.

224pp May 2013978-981-4401-94-4(pbk) US$42 £28

:: Bestselling Textbook :: Solutions Manual

A Walk Through Combinatorics An Introduction to Enumeration and Graph Theory (3rd Edition)by Miklós Bóna (University of Florida, USA)

“The chapters on block designs and counting unlabeled structures have been added to the third edition, and there are also one hundred new problems in the other eighteen chapters. When I next teach a combinatorics course, this will be the text I use.”

Mathematical Reviews

Readership: Upper level undergraduates and graduate students in the field of combinatorics and graph theory.

568pp May 2011978-981-4335-23-2 US$110 £72

Notable BacklistPrinciples and Techniques in Combinatorics Chen Chuan-Chong & Koh Khee-Meng (National University of Singapore)

A First Look at Graph Theory John Clark & Derek Allan Holton (University of Otago, New Zealand)

Inverse Problems for Electrical Networks Edward B Curtis & James A Morrow (University of Washington, Seattle)

978-981-4460-00-2(pbk) US$58 £3899 COMPLEX ANALYSIS

Complex AnalysisAn Invitation (2nd Edition)by Murali Rao (University of Florida, USA), Henrik Stetkær, Søren Fournais & Jacob Schach Møller (Aarhus University, Denmark)

Review of the First Edition: “... covers an unusually large amount of material in a relatively few pages, and does so in a way that provides an excellent survey of the results and techniques of function theory ... the presentation often provides excellent insights into the subject.”


The new materials found in this edition give a concise and accessible treatment of Loewner theory. Each chapter finishes with exercises.

Readership: Advanced undergraduates and graduate students of mathematics including mathematicians interested in Loewner theory.

350pp Mar 2015978-981-4579-58-2 US$84 £55978-981-4579-59-9(pbk) US$48 £32

Complex Analytic Geometryby Tatsuo Suwa (Hokkaido University, Japan)

This book starts off with the basic material, introducing characteristic classes mainly via the Chern – Weil theory, explaining the idea of localization of characteristic classes and presenting the aforementioned invariants and relations in a unified way from this perspective. Its exposition is carried out in a self-containing manner. Recent developments are also discussed.

Readership: Graduate students and researcher on fields as diverse as Algebraic Geometry, Differential Geometry, Topology, Complex Dynamical Systems and Mathematical Physics.

300pp Aug 2015978-981-4374-70-5 US$110 £73

Mathematical Olympiad Series - Vol 4Combinatorial Problems in Mathematical Competitionsby Yao Zhang (Hunan Normal University, P R China)

This book focuses on combinatorial problems in mathematical competitions. It provides basic knowledge on how to solve combinatorial problems in mathematical competitions, and also introduces important solutions to combinatorial problems and some typical problems with often-used solutions. Some enlightening and novel examples and exercises are well chosen in this book.

Readership: Students and teachers of high school, coaches of mathematical olympiads, undergraduates and graduates in mathematics, non-experts interested in mathematical competitions.

304pp Mar 2011978-981-283-949-7(pbk) US$34 £22978-981-283-950-3(ebook) US$44 £29

:: Textbook

15

:: BestsellingA Friendly Approach to Complex Analysisby Sara Maad Sasane (Lund University, Sweden), Amol Sasane (London School of Economics, UK)

The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The core content of the book is the three main pillars of complex analysis: the Cauchy – Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions. Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.

Readership: Undergraduate students in complex analysis.

288pp Feb 2014978-981-4578-98-1 US$80 £53978-981-4578-99-8(pbk) US$42 £28

:: Bestselling Textbook

IISc Lecture Notes Series - Vol 2Schwarz’s Lemma From a Differential Geometric Viewpointby Kang-Tae Kim (Pohang University of Science and Technology, Korea) & Hanjin Lee (Handong Global University, Korea)

“The book is written in a lucid and at the same time mathematically rigorous manner. It would be definitely interesting for specialists in analysis and geometry. Owing to the background material supplied, these lecture notes are easily accessible and would be also useful for Ph.D. and master’s program students specializing in the corresponding areas of mathematics.”

MathSciNet

Readership: Graduate students and researchers in complex analysis, differential geometrics and Riemannian geometry.

100pp Dec 2010978-981-4324-78-6 US$53 £35978-981-4324-79-3(ebook) US$69 £45

FLUID MECHANICS

Lecture Notes on TurbulenceProblems and Solutionsby Pierre Sagaut & Thomas Gomez (Université Pierre et Marie Curie - Paris 6, France)

This textbook is based on the lectures on turbulence given in the Masters programme at Université Pierre et Marie Curie and Ecole Polytechnique. The book covers the classic topics on turbulence that includes: introduction to fundamentals of statistical and spectral analysis, dimensional analysis, Kolmogorov theory and energy cascade, the hierarchy of turbulent flows ranging from isotropic turbulence to non-homogeneous shear flows, and extension to compressible turbulence illuminated using Kovasznay model decomposition. A substantial section of this volume is devoted to exercises and problems to guide readers through the book in applying the theories learnt to the problems provided. Furthermore, all-important exercises and problems are first presented in the usual short “workout” fashion, followed by the full solution to demonstrate the process.

Readership: Masters students, PhD students and experienced professionals who wish to get an insight into the field of turbulence and its applications in engineering and Earth Sciences.

300pp Feb 2015978-1-78326-359-2 US$96 £63978-1-78326-360-8(pbk) US$48 £32

Multiscale and Multiresolution Approaches in TurbulenceLES, DES and Hybrid RANS/LES Methods: Applications and Guidelines (2nd Edition)by Pierre Sagaut (Université Pierre et Marie Curie – Paris 6, France), Sébastien Deck & Marc Terracol (ONERA, France)

“The book is well written and presents a huge number of computational results together with numerous illustrations of different modeling approaches. The bibliography of the book contains many contemporary references.”

Zentralblatt MATH

Readership: Graduate students and researchers in fluid mechanics and aerospace engineering.

448pp May 2013978-1-84816-986-9 US$128 £84978-1-84816-987-6(ebook) US$166 £109

Elementary Fluid Mechanicsby Tsutomu Kambe (Institute of Dynamical Systems, Tokyo, Japan)

“The author is to be commended for introducing a chapter on the gauge theory of fluid mechanics, which is quite scarce in fluid mechanics books ... the book can serve as an excellent introduction for graduate students in applied mathematics and physics who are interested in pursuing research in specific areas of fluid mechanics ... One of the strengths of the book is its culmination in a detailed solution to all the problems.”

Choice

Readership: Undergraduate and postgraduate students in physics, mathematics, and engineering as well as scientists and engineers who are not specialists in fluid mechanics.

404pp Jan 2007978-981-256-416-0 US$110 £73978-981-256-597-6(pbk) US$53 £35978-981-270-667-6(ebook) US$143 £95


16

Mathematics and Its Teaching in the Southern Americasedited by Hector Rosario (University of Puerto Rico, Puerto Rico), Patrick Scott (Inter-American Committee on Mathematics Education, USA) & Bruce R Vogeli (Columbia University, USA)

The last summary of mathematics education in the Southern Americas appeared in 1966. Progress in the field during five decades has remained unexamined until now. Thus, this book presents a comprehensive review of mathematics and its teaching in the following 17 nations in South America, Central America, and the Caribbean: Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Cuba, Guyana, Haiti, Honduras, México, Panamá, Paraguay, Perú, Puerto Rico, Trinidad and Tobago, and Venezuela. The chapters are written by national experts, and are accompanied by an introduction written by Ubiratan D’ Ambrosio and an epilogue by Patrick Scott.

Readership: Graduates and professionals in mathematics education; education planners.

500pp Jan 2015978-981-4590-56-3 US$148 £98978-981-4590-57-0(ebook) US$192 £127

Mathematics Education in KoreaVolume 2: Contemporary Trends in Researches in Koreaedited by Jinho Kim (Daegu National University of Education, Korea), Inki Han (Gyeongsang National University, Korea), Mangoo Park (Seoul National University of Education, Korea) & Joongkwoen Lee (Dongguk University, Korea)

This volume shows how the history and practices of mathematics education in Korea (from Volume 7) have been influenced by Japan, America and other countries, developing into the unique Korean style of mathematics education. Research content and practices currently being conducted are also covered, as well as topics like teacher education, special mathematics education, research trends and some perspectives towards the future of mathematics education in Korea.

Readership: Graduate students and researchers in mathematics education; professionals such as mathematics teachers and lecturers in Asia.

450pp Nov 2014978-981-4525-71-8 US$88 £58

How Chinese Teach MathematicsPerspectives from Insidersedited by Lianghuo Fan (The University of Southampton, UK), Ngai-Ying Wong (The Chinese University of Hong Kong, Hong Kong), Jinfa Cai (The University of Delaware, USA) & Shiqi Li (East China Normal University, China)

This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world’s leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the “teaching” side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book: Teaching, Teacher, and Teacher Education.

Readership: Researchers, educators, lecturers, and graduate students in mathematics and education.

600pp Dec 2014978-981-4415-81-1 US$150 £99978-981-4415-82-8(ebook) US$195 £129

Lesson StudyChallenges in Mathematics Educationedited by Maitree Inprasitha (Khon Kaen University, Thailand),Masami Isoda (University of Tsukuba, Japan), Ban-Har Yeap (National

Institute of Education, Singapore) & Patsy Wang-Iverson (The Gabriella and Paul Rosenbaum Foundation, USA)

Lesson study is one of the best ways to improve the quality of teaching. This book includes challenges of lesson study in the world, for example, in Japan and Singapore, and focuses on teacher education and mathematics education, and on curriculum implementation and reforms.

Readership: Mathematics educators of teacher training colleges, mathematics teachers, prospective teachers (elementary and secondary school) and undergraduate students in mathematics.

300pp Aug 2014978-981-283-540-6 US$111 £76978-981-283-541-3(pbk) US$65 £45

Primary Mathematics Standards for Pre-Service Teachers in ChileA Resource Book for Teachers and Educatorsby Patricio Felmer (Universidad de Chile, Chile), Renato Lewin (Pontificia Universidad Cató lica de Chile, Chile), SaloméMartínez, Cristián Reyes, Leonor Varas, Eugenio Chandía, Pablo Dartnell (Universidad de Chile, Chile), Alejandro Ló pez (Universidad Andrés Bello, Chile), Claudio Martínez (Universidad Metropolitana de Ciencias de la Educació n, Chile), Arturo Mena (Pontificia Universidad Cató lica de Valparaíso, Chile), Andrés Ortíz (Universidad Cató lica de la Santísima Concepció n, Chile), Gloria Schwarze (Pontificia Universidad Cató lica de Chile, Chile) & Pierina Zanocco (Universidad Santo Tomás, Chile)

This book contains the result of the work of a broad team of mathematicians and mathematics educators led by the University of Chile to develop Content and Pedagogical Standards for Primary School Teachers Education in Mathematics commissioned by the Chilean Ministry of Education.

Readership: Mathematics educators, pre-service and in-service elementary teachers, university and national policy makers, curricular experts.

280pp Feb 2014978-981-4551-81-6 US$86 £57

Investigating the Pedagogy of MathematicsHow Do Teachers Develop Their Knowledge?by Lianghuo Fan (University of Southampton, UK)

“Given the reforms in mathematics education, the issue of how teachers develop their knowledge has become a big challenge for practitioners as well as for researchers. While many people believe that teachers teach as they were taught, Prof Fan shows that the phenomenon is much more complex. …”

Prof. Zemira Mevarech Dean of Faculty of Social Sciences, Bar-Ilan University

Readership: Teachers, teacher educators, school administrators, educational policy-makers and non-experts interested in education issues.

270pp Sep 2014978-1-78326-457-5 US$68 £45978-1-78326-458-2(ebook) US$88 £59

GENERAL MATHEMATICS

Series on Mathematics Education

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Vol10

Vol2

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Vol6

,National

Vol3

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Vol9

17

Basic Language of Mathematicsby Juan Jorge Schäffer (Carnegie Mellon University, USA)

This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable. The book is intended to provide a comprehensive and rigorous account of the concepts on sets, mapping, family, order, number (both natural and real), as well as such distinct procedures like Proof by Induction and Recursive Definition, and the interaction between these ideas; with attempts at including insightful notes on historic and cultural settings and information on alternative presentations. The work ends with an excursion on infinite sets, principally a discussion of the mathematics of Axiom of Choice and often very useful equivalent statements.

Readership: Undergraduate and graduate students in mathematics; Mathematicians.

320pp Aug 2014978-981-4596-09-1 US$68 £45978-981-4596-10-7(ebook) US$88 £59

Making Mathematics More PracticalImplementation in the Schools edited by Yew Hoong Leong, Eng Guan Tay, Khiok Seng Quek, Tin Lam Toh, Pee Choon Toh, Jaguthsing Dindyal, Foo Him Ho & Romina Ann Soon Yap (Nanyang Technological University, Singapore)

The book Making Mathematics Practical (published by World Scientific in 2011) is a report of the research project “Mathematical Problem Solving for Everyone” (MProSE), which attempts to provide all the necessary resources for teachers to teach problem solving in schools. This book reports as a follow-up on the actual enactment of the proposed MProSE problem solving curriculum in five Singapore schools. The experimental schools report how they tweak the MProSE proposal to fit into their school curriculum, together with issues, challenges and success stories in implementing such an innovative curriculum. It is an ideal handbook for educators.

Readership: Mathematics educators, school teachers and other facilitators.

148pp Nov 2013978-981-4569-07-1 US$38 £25

Jim Totten’s Problems of the Weekedited by John Grant McLoughlin (University of New Brunswick, Canada), Joseph Khoury (University of Ottawa, Canada) & Bruce Shawyer (Memorial University of Newfoundland, Canada)

This volume provides a wide selection of problems (and solutions) to all those interested in mathematical problem solving and is accessible to readers from high school students to professionals. It is a resource for those interested in mathematical competitions ranging from high school level to the William Lowell Putnam Mathematical Competition (for undergraduate students). The collection offers challenges for students, teachers, and recreational mathematicians.

Readership: High school students and university students interested in mathematics competitions and problem solving.

348pp Aug 2013978-981-4513-30-2 US$68 £45

Learning Experiences to Promote Mathematics LearningYearbook 2014, Association of Mathematics Educatorsedited by Pee Choon Toh, Tin Lam Toh & Berinderjeet Kaur (Nanyang Technological University, Singapore)

This sixth volume, in the series of yearbooks by the Association of Mathematics Educators in Singapore, entitled Learning Experiences to Promote Mathematics Learning is unique in that it focuses on a single theme in mathematics education. The objective is for teachers and researchers to advance the learning of mathematics through meaningful experiences.

Readership: Graduate students, researchers, practitioners and teachers in mathematics.

300pp Jul 2014978-981-4612-90-6 US$78 £51978-981-4612-92-0(ebook) US$101 £66

Mathematical Olympiad Series - Vol 9Mathematical Olympiad in China (2009-2010)Problems and Solutionsedited by Bin Xiong (East China Normal University, China), Peng Yee Lee (Nanyang Technological University, Singapore)

“The book’s organization where solutions immediately follow problems, should prove a convenience for inspiring math teachers with limited Olympiad experience. “

Mathematical Association of America

Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.

204pp Apr 2013978-981-4390-21-7(pbk) US$29 £19978-981-4390-22-4(ebook) US$38 £25

Developing Life Skills Through Math and Science Gamesby Wee Khee Seah (NASCANS Pte Ltd, Singapore), Li Yang Ng, Ying Zhen Ang & Reico Ng edited by Beng Lee Lim

“This amazing new book sets forth interesting games that will increase your science and math skills. Whether you’ re training to become a group leader, are a science teacher or student, an organizer of a nerd party, or simply a curious bystander. This book encourages people to learn, practice science, and have fun at the same time. I can’ t wait for my kids to be big enough to try it out with them.”

Dr Matjaž Kuntner Scientific Research Centre

Slovenian Academy of Sciences and Arts, Slovenia

Readership: High school students and general public interested in Math, Science and life skills.

224pp Mar 2013978-981-4439-81-7(pbk) US$25 £17978-981-4439-82-4(ebook) US$33 £22


18

OrigamicsMathematical Explorations Through Paper Foldingby Kazuo Haga (University of Tsukuba, Japan) edited by Josefina C Fonacier (University of Philippines, Philippines), Masami Isoda (University of Tsukuba, Japan)

“This book is lavishly illustrated and easy to follow. Origamics is a great reference for anyone looking for fresh and interesting ways to incorporate discovery into Euclidean geometry classes and will appeal to geometry and paper folding fans of all types.”


Readership: Mathematics educators and mathematics teachers; general readers.

152pp Oct 2008978-981-283-489-8 US$73 £48978-981-283-490-4(pbk) US$43 £28978-981-283-491-1(ebook) US$95 £62

GEOMETRY & TOPOLOGYMorse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundaryby Gabriel Katz (MIT, USA)

Putting constraints on the nature of the interaction between nonsingular gradient-like fields and the boundary of a smooth compact manifold have profound implications for the topology of the manifold, and this book describes these implications. Along the way, this study extends into the spaces of flow trajectories, their complexity and intricate combinatorics. New invariants of gradient flows, as well as invariants of the underlying manifold are produced, based on the understanding of these structures (on the space of trajectories and on the flow-generated spines). The process leading to a discovery is equally if not more important than the discover itself and in this book, classical singularity theory guides our investigations, and algebraic topology provides the tools.

Readership: Graduate students and researchers specialized in geometric topology, singularity theory and dynamical systems.

300pp Aug 2015978-981-4368-75-9 US$98 £65

Differential Geometry from Singularity Theory Viewpointby Shyuichi Izumiya (Hokkaido University, Japan), Maria del Carmen Romero Fuster (Universitat de Valè ncia, Spain), Maria Aparecida Soares Ruas & Farid Tari (University of São Paulo, Brazil)

This book provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the theory of contact and its link with the theory of caustics and wave fronts. It then uses the powerful techniques of these theories to deduce geometric information about surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of sub-manifolds in Minkowski spaces.

Readership: Advanced undergraduates and post-graduate students, and researchers in the fields of differential geometry and singularity theory.

400pp Mar 2015978-981-4590-44-0 US$86 £57978-981-4590-45-7(ebook) US$112 £74

Mathematical Olympiad Series - Vol 10Solving Problems in GeometryInsights and Strategiesby Kim Hoo Hang & Haibin Wang (NUS High School of Mathematics and Science, Singapore)

This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study.

Readership: Students, educators and general public interested in geometry and topology.

250pp Dec 2014978-981-4590-72-3 US$58 £38978-981-4583-74-9(pbk) US$34 £22

A Participatory Approach to Modern Geometryby Jay Kappraff (New Jersey Institute of Technology, USA)

This book aims to make the subject of geometry and its applications understandable to first year students majoring in architecture, design, or the liberal arts. It can also be used to teach students at different levels of computational ability, and there is sufficient novel material to interest students of mathematics or engineering keen in improving their visual understanding. While the book rigorously develops the subject of geometry, it also goes deeply into the applications of the subject and contains much introductory material of which the student may not be knowledgeable. The constructive approach, using compass and straightedge, engages students not just on an intellectual level, but also at a tactile level. This may be the only rigorous book on geometry that attempts to reach students outside of the discipline of mathematics.

Readership: Undergraduate students of any discipline interested in improving their visual understanding in geometry.

316pp Jul 2014978-981-4556-70-5 US$65 £43

Notable BacklistLectures on Differential Geometry S S Chern (University of California, Berkeley), W H Chen (Beijing University) & K S Lam (California State Polytechnic University)

Riemann-Finsler Geometry Shiing-Shen Chern (Nankai Institute of Mathematics, P R China) & Zhongmin Shen (Indiana University Purdue University Indianapolis, USA)

How Surfaces Intersect in Space: An Introduction to Topology (2nd Edition) J Scott Carter (Univ. South Alabama)

:: Bestselling Author

19

Introductory TopologyExercises and Solutionsby Mohammed Hichem Mortad (University of Oran, Algeria)

The book offers a good introduction to topology through solved exercises. It is mainly intended for undergraduate students. Most exercises are given with detailed solutions.

Contents: Exercises and Solutions: General Notions: Sets, Functions et al.; Metric Spaces; Topological Spaces; Continuity and Convergence; Compact Spaces; Connected Spaces; Complete Metric Spaces; Function Spaces

Readership: Undergraduate students and lecturers in topology.

260pp May 2014978-981-4583-81-7(pbk) US$36 £24

Differential Geometry for Physicists and MathematiciansMoving Frames and Differential Forms: From Euclid Past Riemannby José G Vargas (PST Associates, LLC, USA)

This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative — almost like a story being told — that does not impede sophistication and deep results. It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked.

Readership: Physicists and mathematicians working on differential geometry.

312pp Apr 2014978-981-4566-39-1 US$99 £65978-981-4566-40-7(ebook) US$129 £85

Connections, Sprays and Finsler Structuresby József Szilasi, Rezs L Lovas & Dávid Cs Kertész (University of Debrecen, Hungary)

This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, i t also introduces the reader to other structures and techniques of differential geometry. Most proofs are elaborated in detail, which makes the book suitable for self-study. Nevertheless, the authors provide for more advanced readers as well by supplying them with adequate material, and the book may also serve as a reference.

Readership: Undergraduate and graduate students of mathematics, graduate students of physics, researchers and professionals in differential geometry and mathematical physics.

732pp Oct 2013978-981-4440-09-7 US$88 £58

Selected Papers of Masatake Kuranishiedited by Takao Akahori (University of Hyogo Prefecture, Japan), Gen Komatsu (Osaka University, Japan), Kimio Miyajima (Kagoshima University, Japan), Makoto Namba (Otemon Gakuin University, Japan), Duong H Phong (Columbia University, USA) & Keizo Yamaguchi (Hokkaido University, Japan)

This book is a selection of Masatake Kuranishi’s papers. Born in 1924, Kuranishi produced deep and far-reaching results in geometry over his career. Of his voluminous contributions, this book focuses on his later works: (i) his work on locally complete families of deformation of compact complex manifolds. Kuranishi was first to prove the fundamental results of the existence of complete families whose parameter spaces are today called Kuranishi spaces. (ii) His work on the local embedding problem of Cauchy – Riemann structures. Kuranishi proved a fundamental embedding theorem in Cauchy – Riemann geometry. (iii) His work on Cartan Geometry and Szegö kernels. Mainly for his works on (i) and (ii), Kuranishi was awarded the Bergman Prize in 2000. Today, he is a professor emeritus of Columbia University.

Readership: Researchers in geometry and complex analysis.

656pp Dec 2013978-981-4508-13-1 US$240 £158

Applications of Contact Geometry and Topology in Physicsby Arkady L Kholodenko (Clemson University, USA)

Contents: Motivation and Background; From Ideal Magnetohydrodynamics to String and Knot Theory; All About and Around Woltjer’s Theorem; Topologically Massive Gauge Theories and Force-Free Fields; Contact Geometry and Physics; Sub-Riemannian Geometry, Heisenberg Manifolds and Quantum Mechanics of Landau Levels; Abrikosov Lattices, TGB Phases in Liquid Crystals and Heisenberg Group; Sub-Riemannian Geometry, Spin Dynamics and Quantum-Classical Optimal Control; From Contact Geometry to Contact Topology; Closing Remarks: The Unreasonable Effectivenessof Contact Geometry and Topology in Physical Sciences;Appendices: Heisenberg Group in the Context of Sub-Riemannian Geometry and Optimal Control; Sub-Riemannian Dynamics of Josephson Junctions; Quantum Computers and Quantum Random Walks; The Measurement Protocol. Geometry and Topology of Entanglements

Readership: Students in applied mathematics and theoretical physics.

492pp Jul 2013978-981-4412-08-7 US$98 £65978-981-4412-09-4(ebook) US$127 £85

Topology with ApplicationsTopological Spaces via Near and Farby Somashekhar A Naimpally (Lakehead University, Canada), James F Peters (University of Manitoba, Canada)

“The book contains a lot of mathematical material from different fields that can complement and enrich a more standard brief introduction into the field of general topology.”

Zentralblatt MATH

Readership: 3rd year undergraduate students, graduate students and researchers in topology; professional and practitioners who are interested in applying topology and its applications especially in science and engineering.

296pp Apr 2013978-981-4407-65-6 US$95 £63978-981-4407-66-3(ebook) US$124 £82


20

:: Bestselling TextbookAn Introduction to Differential Manifoldsby Dennis Barden & Charles Thomas (University of Cambridge, UK)

“This book is an excellent introductory text into the theory of differential manifolds with a carefully thought out and tested structure and a sufficient supply of exercises and their solutions. It does not only guide the reader gently into the depths of the theory of differential manifolds but also careful on giving advice how one can place the information in the right context. It is certainly written in the best traditions of great Cambridge mathematics.”

Acta Scientiarum Mathematicarum

Readership: Upper level undergraduates, beginning graduate students, and lecturers in geometry and topology.

232pp Mar 2003978-1-86094-354-6 US$74 £49978-1-86094-355-3(pbk) US$45 £29

:: Bestselling Study Guide

Major American Universities Ph.D. Qualifying Questions and Solutions - Mathematics Problems and Solutions in Mathematics (2nd Edition)edited by Ta-Tsien Li (Fudan University, China)

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations.

Readership: PhD mathematics students and lecturers.

804pp Mar 2011978-981-4304-95-5 US$158 £104978-981-4304-96-2(pbk) US$82 £54

LOGIC AND SET THEORYFunctional InterpretationsFrom the Dialectica Interpretation to Interpretations of Classical and Constructive Set Theoryby Justus Diller (University of Münster, Germany)

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gö del’s Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Prerequisites are: familiarity with classical and intuitionistic predicate logic, basics of computability theory, Gö del’s incompleteness theorems.

Readership: Researchers in mathematical logic, in particular in proof theory of constructive systems, and set theory.

250pp Feb 2016978-981-4551-39-7 US$82 £54978-981-4551-40-3(ebook) US$107 £70

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 27E-Recursion, Forcing and C*-Algebrasedited by Chitat Chong (National University of Singapore, Singapore), Qi Feng (Chinese Academy of Sciences, China), Theodore A Slaman (University of California, Berkeley, USA), W Hugh Woodin (Harvard University, USA) & Yue Yang (National University of Singapore, Singapore)

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative for Infinity Logic Summer School. The major topics cover set-theoretic forcing, higher recursion theory, and applications of set theory to C*-algebra. This volume offers a wide spectrum of ideas and techniques introduced in contemporary research in the field of mathematical logic to students, researchers and mathematicians.

Readership: Mathematics graduate students, researchers in logic, set theory and related areas.

204pp Aug 2014978-981-4602-63-1 US$58 £38978-981-4603-25-6(pbk) US$28 £18978-981-4602-64-8(ebook) US$75 £49

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 26Notes on Forcing Axiomsby Stevo Todorcevic (University of Toronto, Canada) edited by Chitat Chong, Qi Feng (National University of Singapore, Singapore), Theodore A Slaman, W Hugh Woodin (University of California, Berkeley, USA) & Yue Yang (National University of Singapore, Singapore)

This volume brings the Baire category method to another level of sophistication via the internal version of the set-theoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique of building forcing notions rather than on the relationship between different forcing axioms or their consistency strengths.

Readership: Graduate students and researchers in logic, set theory and related fields.

236pp Feb 2014978-981-4571-57-9 US$58 £38978-981-4571-58-6(ebook) US$75 £49

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 25Infinity and Truthedited by Chitat Chong, Qi Feng (National University of Singapore, Singapore), Theodore A Slaman & W Hugh Woodin (University of California, Berkeley, USA)

This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The final chapter features questions proposed by the participants of the Workshop that will drive foundational research.

Readership: Mathematicians, philosophers, scientists, graduate students, academic institutions, and research organizations interested in logic and the philosophy of mathematics.

244pp Jan 2014978-981-4571-03-6 US$58 £38978-981-4571-04-3(ebook) US$75 £49

21

Forcing for Mathematiciansby Nik Weaver (Washington University in St. Louis, USA)

This book aims at explaining forcing to general mathematicians. It simultaneously makes the subject broadly accessible by explaining it in a clear, simple manner, and surveys advanced applications of set theory to mainstream topics.

Readership: Graduates and researchers in logic and set theory, general mathematical audience.

152pp Apr 2014978-981-4566-00-1 US$54 £36978-981-4566-01-8(ebook) US$70 £47

MATHEMATICAL MODELINGFractional Calculus and Waves in Linear ViscoelasticityAn Introduction to Mathematical Models (Second Revised Edition)by Francesco Mainardi (University of Bologna, Italy)

This new edition has been entirely revised and updated to reflect recent developments in the field. This Second Revised Edition keeps the structure of the First Edition but all chapters and appendices have been revised and expanded.

Contents: Essentials of Fractional Calculus; Essentials of Linear Viscoelasticity; Fractional Viscoelastic models; Waves in Linear Viscoelastic Media: Dispersion and Dissipation; Waves in Linear Viscoelastic Media: Asymptotic Representations; Diffusion and Wave-Propagation via Fractional Calculus; Appendices: The Eulerian Functions; The Bessel Functions; The Error Functions; The Exponential Integral Functions; The Mittag – Leffler Functions; The Wright Functions

Readership: Engineers, graduate students and researchers in applied sciences.

400pp Mar 2015978-1-78326-398-1 US$125 £83978-1-78326-399-8(ebook) US$163 £108

Series in Mathematical Biology and Medicine - Vol 10Optimal Transport Networks in Natureby Natalya Kizilova (Kharkov National University, Ukraine)

This unique book presents a broad range of data on geometry and topology of long-distance liquid transport networks in nature including circulatory and respiratory systems of mammals, trophic fluid transport systems of animals, and conducting systems of higher plants. Evidence of the common design principles and optimal properties of the transportation networks of vascular plants and animals is provided. The book also provides a comprehensive comparative study of the recent measurement results and data analysis, including unique data obtained by the author.

Readership: Academics, researchers, and graduate students in mathematical biology, mathematical modeling, fluid mechanics, biomedical engineering, pattern recognition/image analysis.

200pp Mar 2015978-981-283-873-5 US$88 £58

Dynamics of CancerMathematical Foundations of Oncologyby Dominik Wodarz, Natalia L Komarova (University of California, Irvine, USA)

The book aims to provide an introduction to mathematical models that describe the dynamics of tumor growth and the evolution of tumor cells. The book has a strong evolutionary component and reflects the viewpoint that cancer can be understood rationally through a combination of mathematical and biological tools. The book finishes with a discussion of advanced topics, which describe how some of the mathematical concepts can be used to gain insights into a variety of questions, such as epigenetics, telomeres, gene therapy, and social interactions of cancer cells.

Readership: Researchers in mathematical biology, mathematical modeling, biology, mathematical oncology.

532pp Jul 2014978-981-4566-36-0 US$148 £98978-981-4566-37-7(ebook) US$192 £127

Applications of Epidemiological Models to Public Health PolicymakingThe Role of Heterogeneity in Model Predictionsby Zhilan Feng (Purdue University, USA)

Mathematical models can be very helpful to understand the transmission dynamics of infectious diseases. This book presents examples of epidemiological models and modeling tools that can assist policymakers to assess and evaluate disease control strategies.

Readership: Researchers in mathematical biology, mathematical modeling, infectious diseases and complex systems.

308pp Jun 2014978-981-4522-34-2 US$110 £73978-981-4522-35-9(ebook) US$143 £95

Splines and Compartment ModelsAn Introductionby Karl-Ernst Biebler, Michael Wodny (Ernst Moritz Arndt University of Greifswald, Germany)

This book presents methods of mathematical modeling from two points of view. Splines provide a general approach while compartment models serve as examples for context related to modeling. The preconditions and characteristics of the developed mathematical models as well as the conditions surrounding data collection and model fit are taken into account. The substantial statements of this book are mathematically proven. The results are ready for application with examples and related program codes given.

Readership: Graduate students in biomathematics, medicine, pharmacy and human biology. Professionals like bio-mathematicians, pharmacologists, clinical pharmacologists, pharmacists, doctors engaged in clinical research, scientists in pharmaceutical R& D and scientific staff in the life sciences.

348pp Sep 2013978-981-4522-22-9 US$84 £55978-981-4522-23-6(ebook) US$109 £72


22

An Introduction to Differential EquationsStochastic Modeling, Methods and Analysis (Volume 2)by Anil G Ladde (Chesapeake Capital Corporation, USA), G S Ladde (University of South Florida, USA)

“The book can be used in stochastic modeling or applied mathematical courses for graduate/undergraduate students and for interdisciplinary.”

Zentralblatt MATH

This book is a stochastic version of Volume 1 (“An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis”). Both books have a similar design, but naturally, differ by calculi. Both volumes use an innovative style in the presentation of the topics, methods and concepts with adequate preparation in deterministic Calculus.

Readership: Advanced undergraduate students, interdisciplinary researchers; researchers in the mathematical sciences.

636pp Mar 2013978-981-4390-06-4 US$158 £104978-981-4390-07-1(pbk) US$78 £51

:: Bestseller

Calculating Catastropheby Gordon Woo

“Woo has a specialist audience in mind, but running through Calculating Catastrophe is a lesson for novice and initiate alike. This concerns how and why modern societies have such difficulty dealing with the biggest questions they face, from climate change and terrorism to financial crisis. The author — whose business card for the modelling company RMS reads: ‘ Dr Gordon Woo, Catastrophist’ — underlines time and again the uncertainty that always remains in managing risk.”

Financial Times

Readership: Applied mathematicians, earth and atmospheric scientists, civil engineers, geographers, economists and general public.

368pp Jul 2011978-1-84816-738-4 US$85 £56978-1-84816-739-1(pbk) US$31 £20978-1-84816-740-7(ebook) US$111 £73

MATHEMATICAL PHYSICSWorld Scientific Series in 20th Century Mathematics - Vol 10Fifty Years of Mathematical PhysicsSelected Works of Ludvig Faddeevedited by Molin Ge (Chern Institute of Mathematics, China & Chinese Academy of Science, China), Antti J Niemi (Uppsala University, Sweden & CNRS/Tours, France)

This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludvig Faddeev, with a foreword by Nobel Laureate C N Yang.

Contents: Scattering Theory; Automorphic Functions; Field THeory; Theory of Solitons; Quantum Groups; Knots; General Questions

Readership: Graduate students and researchers in the interface of mathematics with mathematical and theoretical physics.

500pp Jan 2015978-981-4340-95-3 US$148 £98

The Minkowski and Conformal SuperspacesThe Classical and Quantum Descriptionsby Rita Fioresi (Universitàdi Bologna, Italy), María Antonia Lledó (Universitat de Valè ncia, Spain)

This book is aimed at graduate students and researchers in physics and mathematics who seek to understand the basics of supersymmetry from a mathematical point of view. It provides a bridge between the physical and mathematical approaches to the superworld. The physicist who is devoted to learning the basics of supergeometry can find a friendly approach here, since only the concepts that are strictly necessary are introduced. On the other hand, the mathematician who wants to learn from physics will find that all the mathematical assumptions are firmly rooted in physical concepts. This may open up a channel of communication between the two communities working on different aspects of supersymmetry.

Readership: Graduate students and researchers in mathematics and physics interested in supersymmetry.

300pp Dec 2014978-981-4566-33-9 US$95 £63978-981-4566-34-6(ebook) US$124 £82

Theta Functions and Knotsby Razvan Gelca (Texas Tech University, USA)

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Razvan Gelca and Alejandro Uribe, which converts Weil’s representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology.

Readership: Graduate students and young researchers with an interest in complex analysis, mathematical physics, algebra geometry and low dimensional topology.

468pp Jul 2014978-981-4520-57-7 US$128 £84978-981-4520-58-4(ebook) US$166 £109

Space, Time and Matterby Dipak K Sen (University of Toronto, Canada)

This volume deals with the fundamental concepts of space, time and matter. It presents a novel reformulation of both the special and general theory of relativity, in which time does not constitute the fourth dimension in a conventional 4-dimensional space-time. Instead, the role of time is played by the flow of a vector field on a 3-dimensional space. The standard models of de Sitter, Schwarzschild and Kerr space-times are reformulated in a purely 3-dimensional manifold.

Readership: Graduate students and researchers in mathematical physics and theoretical physics.

152pp May 2014978-981-4522-83-0 US$58 £38978-981-4522-84-7(ebook) US$75 £50

23

First-Passage Phenomena and Their Applicationsedited by Ralf Metzler (University of Potsdam, Germany & Tampere University of Technology, Finland), Gleb Oshanin (Université Pierre et Marie Curie, France) & Sidney Redner (Boston University, USA)

The book contains review articles on recent advances in first-passage phenomena and applications contributed by leading international experts. It is intended for graduate students and researchers who are interested in learning about this intriguing and important topic.

Readership: Researchers in stochastic processes, statistical physics, and mathematical physics.

608pp May 2014978-981-4590-28-0 US$148 £98978-981-4590-29-7(ebook) US$192 £127

Spherical Harmonics in p Dimensionsby Costas Efthimiou (University of Central Florida, USA) & Christopher Frye (Harvard University, USA)

The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.

Readership: Undergraduate and graduate students in mathematical physics and differential equations.

156pp May 2014978-981-4596-69-5 US$48 £32978-981-4596-70-1(ebook) US$62 £42

Analytical MechanicsA Comprehensive Treatise on the Dynamics of Constrained Systems (Reprint Edition)by John G Papastavridis (Georgia Institute of Technology, USA)

“I recommend without hesitation Prof Papastravridis’ treatise as a reference source to be acquired by every library of Mathematics, Physics, or Mechanical/Aeronautical/Electr ical Engineering department. It is a different book, especially in our Internet era where instant satisfaction is often the primary (sometimes sole) goal of the student or researcher…”

Bulletin of the American Mathematical Society

“Recipient of the annual competition award, in engineering, of the Association of American Publishers.”

The Outstanding Professional and Scholarly Titles of 2002 (March 2003)

Readership: Students and researchers in engineering, physics, and applied mathematics.

1416pp May 2014978-981-4338-71-4 US$298 £197

Series on Knots and Everything - Vol 54Scientific Essays in Honor of H Pierre Noyes on the Occasion of His 90th Birthdayedited by John C Amson (University of St Andrews, UK) & Louis H Kauffman (University of Illinois at Chicago, USA)

This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes. The book is a representative selection of papers on the topics that have been central to the meetings over the last three decades of ANPA, the Alternative Natural Philosophy Association. ANPA was founded by Pierre Noyes and his colleagues the philosopher-linguist-physicist Frederick Parker-Rhodes, the physicist Ted Bastin, and the mathematicians Clive Kilmister, John Amson.

Readership: Researchers in mathematical physics, theoretical physics and history of science.

400pp Jan 2014978-981-4579-36-0 US$128 £84978-981-4579-37-7(ebook) US$166 £109

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae (2nd Edition)by Christian Grosche (Universität Hamburg, Germany & Stadtteilschule Walddörfer, Germany)

In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces.

Readership: Graduate and researchers in mathematical physics.

388pp Sep 2013978-981-4460-07-1 US$108 £71978-981-4460-08-8(ebook) US$140 £92

Gibbs Measures on Cayley Treesby Utkir A Rozikov (Institute of Mathematics, Uzbekistan)

“The extensive commentaries and references which follow are as valuable as the mathematical text. At the end of each chapter, the author gives extensive commentaries and a list of references to the literature, including very recent ones. The reader may find useful and insightful open problems concluding the end of each chapter. The book is written from the mathematician’s point of view and its addressees are professionals in statistical mechanics and mathematical physics.”

Zentralblatt MATH

Readership: Researchers in mathematical physics, statistical physics, probability and measure theory.

404pp Sep 2013978-981-4513-37-1 US$128 £84978-981-4513-38-8(ebook) US$166 £110


24

Advanced Series in Mathematical Physics - Vol 29Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras (2nd Edition)by Victor G Kac (Massachusetts Institute of Technology, USA), Ashok K Raina (Tata Institute of Fundamental Research, India) & Natasha Rozhkovskaya (Kansas State University, USA)

The book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985, January 1986 and Juanuary 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras — such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations — simplify and clarify the constructions of the first edition of the book.

Readership: Mathematicians studying representation theory and theoretical physicists.

252pp Sep 2013978-981-4522-18-2 US$84 £55978-981-4522-19-9(pbk) US$38 £25978-981-4522-20-5(ebook) US$109 £72

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 24Complex Quantum SystemsAnalysis of Large Coulomb Systemsedited by Heinz Siedentop (Ludwig-Maximilians-Universität München, Germany)

This volume is based guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics. These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej.

Readership: Mathematicians and mathematical physicists, advanced graduate students and researchers in rigorous many body theory.

304pp Jul 2013978-981-4460-14-9 US$105 £69978-981-4460-15-6(ebook) US$137 £90

Transformation Groups and Lie Algebrasby Nail H Ibragimov (Blekinge Institute of Technology, Sweden)

This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Readership: Professional mathematics researchers and graduated students.

196pp Jul 2013978-981-4460-84-2 US$46 £30

World Scientific Series on Nonlinear Science Series A - Vol 83Advances in Wave Turbulenceedited by Victor Shrira (Keele University, UK), Sergey Nazarenko (University of Warwick, UK)

“As a whole, this book is of high-quality, numerously illustrated and can be recommended for the specialists in the field, PhD students and all of readers who are interested in WT problems. The book will also be useful to academic teachers of nonlinear sciences.”

Pure and Applied Geophysics

Readership: Researchers, professionals and graduate students in mathematical physics, energy studies, solid & fluid mechanics, and complex systems.

296pp Jul 2013978-981-4366-93-9 US$120 £79978-981-4366-94-6(ebook) US$156 £103

World Scientific Lecture Notes in Physics - Vol 61Modern Differential Geometry for Physicists (2nd Edition)by Chris J Isham (Imperial College)

“This book is carefully written, and attention is paid to rigor and relevant details ... The key notions are discussed with great care and from many points of view, which attenuates the shock of the formalism.”


This edition contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made.

Readership: Mathematical physicists.

304pp Mar 1999978-981-02-3555-0 US$82 £54978-981-02-3562-8(pbk) US$43 £29

Lagrangian and Hamiltonian Mechanicsby M G Calkin (Dalhousie University)

“It is a nice and well-written book ... there is a good supply of exercises and worked examples that render this little handbook a useful tool for all those who would like to learn and understand something about mechanics.”


The text contains 115 exercises. This text is suitable for a course in classical mechanics at the advanced undergraduate level.

Readership: Physics and engineering undergraduate students.

228pp Jul 1996978-981-02-2672-5 US$52 £34

25

NUMERICAL ANALYSIS AND COMPUTATIONAL MATHEMATICS

Computational, Numerical and Mathematical Methods in Sciences and Engineering - Vol 2Numerical Solution of the Schrö dinger EquationNumerical Methods for Problems with Periodic or Oscillating Solutionby Theodore E Simos (University of Peloponnese, Greece)

This is the first book devoted to the numerical solution of general problems with periodic and oscillating solutions. It encompasses all the recent research in this area and compares various techniques on the solution of the Schrö dinger equation and related problems from several disciplines such as astronomy and mathematics.

Readership: Applied mathematicians, physicists, chemists, material scientists and computational scientists.

500pp May 2015978-1-86094-697-4 US$138 £91

Dirichlet – Dirichlet Domain Decomposition Methods for Elliptic Problemsh and hp Finite Element Discretizationsby Vadim Glebiovich Korneev (St. Petersburg State University, Russia), Ulrich Langer (Johannes Kepler University Linz, Austria)

In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical domain decomposition (DD) algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.

Readership: Graduate students and researchers in academia, laboratories and research institutions, and industry.

460pp Jan 2015978-981-4578-45-5 US$128 £84978-981-4578-46-2(ebook) US$166 £109

Series in Analysis - Vol 4Mathematical Foundation and Applications of the P and H-P Finite Element Methodsby Benqi Guo (University of Manitoba, Canada)

Based on the author’s research on the p and h-p finite element methods over the past three decades, this book provides comprehensive knowledge and up-to-date developments of the p and h-p finite element methods. Introducing systematically the Jacobi-weighted Sobolev and Besov spaces, it establishes the approximation theory in the framework of these spaces in n dimensions. This in turn leads to the optimal convergence of the p and h-p finite element methods with quasi-uniform meshes in two dimensions for problems with smooth solutions and singular solutions on polygonal domains.

Readership: Graduate students and researchers interested in computational mathematics and analysis.

400pp Dec 2014978-981-283-893-3 US$120 £79

Series on Applied Mathematics - Vol 22Inverse ProblemsTikhonov Theory and Algorithmsby Kazufumi Ito (North Carolina State University, USA), Bangti Jin (University of California, Riverside, USA)

This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods.

Readership: Advanced undergraduates, graduates and researchers in applied mathematics, computational mathematics, optimization, statistics, natural science and engineering. It will appeal to those interested in inverse problems.

320pp Sep 2014978-981-4596-19-0 US$118 £78978-981-4596-20-6(ebook) US$153 £101

Computational Methods in Nonlinear AnalysisEfficient Algorithms, Fixed Point Theory and Applicationsby Ioannis K Argyros (Cameron University, USA) & Saïd Hilout (Poitiers University, France)

“This book is known as a reference book for advanced computational methods in nonlinear analysis.”

Zentralblatt MATH

Readership: Graduate students and researchers in computational mathematics and nonlinear analysis.

592pp Sep 2013978-981-4405-82-9 US$158 £104978-981-4405-83-6(ebook) US$205 £135

OPTIMIZATION AND CONTROL THEORY

Differential GamesA Concise Introductionby Jiongmin Yong (University of Central Florida, USA)

This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.

Readership: Researchers in optimization and control theory and also game theory and economics. The book will be a supplementary volume to relevant textbooks and/or a good research reference book in certain areas.

300pp Aug 2015978-981-4596-22-0 US$68 £45978-981-4596-23-7(ebook) US$88 £59


26

Series on Applied Mathematics - Vol 20PartitionsOptimality and Clustering Vol II: Multi-Parameterby Frank K Hwang (National Chiao-Tung University, Taiwan), Uriel G Rothblum (Technion, Israel) & Hong-Bin Chen (Academia Sinica, Taiwan)

This book is the first attempt to collect all theoretical developments of optimal partitions, many of them derived by the authors, in an accessible place for easy reference. Much more than simply collecting the results, the book provides a general framework to unify these results and present them in an organized fashion.

Readership: Researchers and practitioners in computer science, operations research, applied mathematics and industrial engineering.

304pp Jun 2013978-981-4412-34-6 US$99 £65978-981-4412-35-3(ebook) US$129 £85

PROBABILITY & STATISTICSThe Fence Methodsby Jiming Jiang (University of California, Davis, USA), Thuan Nguyen (Oregon Health & Science University, USA)

This book is about a recently developed class of strategies, known as the fence methods, which fits particularly well in non-conventional and complex model selection problems with practical considerations. The idea involves a procedure to isolate a subgroup of what are known as correct models, of which the optimal model is a member. This is accomplished by constructing a statistical fence, or barrier, to carefully eliminate incorrect models. Once the fence is constructed, the optimal model is selected from amongst those within the fence according to a criterion which can be made flexible. In particular, the criterion of optimality can incorporate consideration of practical interest, thus making model selection a real life practice.

Readership: Graduates and researchers interested in a new class of strategies for model selection.

225pp Dec 2015978-981-4596-06-0 US$80 £53978-981-4596-07-7(ebook) US$104 £69

Multifractional and Anisotropic Stochastic FieldsWavelet Strategies in Multifractional and Anisotropic Frameworksby Antoine Ayache (Université Lille 1, France)

In order to sharply determine path behavior of Multifractional and Anisotropic Fields, a wavelet strategy, which can be considered to be new in the probabilistic framework, has been developed since the end of the 90’s. It is somehow inspired by some rather non-standard methods, related to the fine study of Brownian Motion roughness, through its representation in the Faber – Schauder system. The main goal of the book is to present the motivations behind this wavelet strategy, and to explain how it can be applied to some more or less classical examples of Multifractional and Anisotropic Fields. The book also discusses some topics concerning them which are not directly related to the wavelet strategy, namely their self-similarity property and statistical inference for them.

Readership: Researchers in probability and statistics, real analysis and stochastic analysis.

250pp Jun 2015978-981-4525-65-7 US$94 £62978-981-4525-66-4(ebook) US$122 £81

Interdisciplinary Mathematical Sciences Festschrift Masatoshi FukushimaIn Honor of Masatoshi Fukushima’s Sanjuedited by Zhen-Qing Chen (University of Washington, USA), Niels Jacob (Swansea University, UK), Masayoshi Takeda (Tohoku University, Japan) & Toshihiro Uemura (Kansai University, Japan)

This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima’s contribution to mathematics, as well as authoritative surveys on the state of the art in the field.

Readership: Researchers in probability, stochastic analysis and mathematical physics.

700pp Jan 2015978-981-4596-52-7 US$168 £111978-981-4596-53-4(ebook) US$218 £144

Advanced Series on Statistical Science and Applied Probability Spatial Branching in Random Environments and with Interactionby Janos Englander (University of Colorado Boulder, USA)

This unique volume discusses some recent developments in the theory of spatial branching processes and superprocesses, with special emphasis on spines, Laws of Large Numbers, interactions and random media. Although this book is mainly written for mathematicians, the models discussed are relevant to certain models in population biology, and are thus hopefully interesting to the applied mathematician/biologist as well.

Readership: Researchers and advanced graduate students in probability, statistics and mathematical biology.

260pp Oct 2014978-981-4569-83-5 US$68 £45978-981-4569-84-2(ebook) US$88 £59

Nonlinear Mixture ModelsA Bayesian Approachby Tatiana Tatarinova (University of Glamorgan, UK), Alan Schumitzky (University of Southern California, USA)

This book provides a broad introduction to the important subject of nonlinear mixture models from a Bayesian perspective. It contains background material, a brief description of Markov chain theory, as well as novel algorithms and their applications. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.

Readership: Graduate students and researchers in bioinformatics, mathematical biology, probability and statistics, mathematical modeling, pharmacology/pharmacy.

250pp Dec 2014978-1-84816-756-8 US$95 £63

27

Medical Statistics and Computer Experiments (2nd Edition, with CD-ROM)edited by Ji-Qian Fang (Sun Yat-Sen University, China)

Review of the First Edition: “It gives basic guidance on a much broader range of statistical topics than is usually seen in books aimed at non-statisticians ... The ‘Thinking’sections at the end of the chapters, with their solutions, also provide additional good material.”

Pharmaceutical Statistics

Readership: Postgraduate students and researchers in medical, public health and applied statistics.

1000pp Sep 2014978-981-4566-77-3 US$210 £139978-981-4566-78-0(ebook) US$273 £181

Statistical Science and Interdisciplinary Research - Vol 14Statistical ParadigmsRecent Advances and Reconciliationsedited by Ashis SenGupta, Tapas Samanta & Ayanendranath Basu (Indian Statistical Institute, India)

This volume consists of a collection of research articles on classical and emerging Statistical Paradigms — parametric, non-parametric and semi-parametric, frequentist and Bayesian — encompassing both theoretical advances and emerging applications in a variety of scientific disciplines.

Readership: Researchers, professionals and advanced students working on Bayesian and frequentist approaches to statistical modeling and on interfaces for both theory and applications.

250pp Sep 2014978-981-4343-95-4 US$96 £62

Benford’s LawTheory, the General Law of Relative Quantities, and Forensic Fraud Detection Applicationsby Alex Ely Kossovsky (The City University of New York, USA)

This book tells the story of an apparently mysterious digital phenomenon called Benford’s Law. This phenomenon manifests itself by the empirical finding that not all digits are created equal, but rather that low digits such as 1, 2 and 3 occur much more frequently than high digits such as 7, 8 and 9 in almost all data types, such as geological, astronomical, scientific, engineering, accounting, financial, sport, and medical data sets.

Readership: Researchers in probability and statistics, forensic data analysis.

500pp Sep 2014978-981-4583-68-8 US$134 £88978-981-4583-69-5(ebook) US$174 £114


Elements of Stochastic Modelling (2nd Edition)by Konstantin Borovkov (The University of Melbourne, Australia)

Reviews of the First Edition: “The author is a well-known probabilist and now he is showing that he is also an excellent writer of a book for university students ... in this book we find carefully selected topics from the area of stochastic modelling all presented in a masterful way.”

Zentralblatt MATH

Readership: Advanced undergraduates, graduate students, lecturers and researchers in mathematics, statistics, actuarial sciences and economics.

500pp Aug 2014978-981-4571-15-9 US$108 £71978-981-4571-16-6(pbk) US$58 £38

Weak Convergence and Its Applicationby Zhengyan Lin & Hanchao Wang (Zhejiang University, China)

Weak convergence of stochastic processes is one of most important theories in probability theory. Not only probability experts but also more and more statisticians are interested in it. In the study of statistics and econometrics, some problems cannot be solved by the classical method. In this book, we will introduce some recent development of modern weak convergence theory to overcome defects of classical theory.

Readership: Graduate students and researchers in probability & statistics and econometrics.

250pp Jul 2014978-981-4447-69-0 US$88 £58978-981-4447-70-6(ebook) US$114 £75

Data Analysis for Network Cyber-Securityedited by Niall Adams & Nicholas Heard (Imperial College London, UK & University of Bristol, UK)

This book gathers papers from leading researchers to provide both background to the problems and a description of cutting-edge methodology. The contributors are from diverse institutions and areas of expertise and were brought together at a workshop held at the University of Bristol in March 2013 to address the issues of network cyber security. The workshop was supported by the Heilbronn Institute for Mathematical Research.

Readership: Researchers and graduate students in the fields of network traffic data analysis and network cyber security.

200pp Apr 2014978-1-78326-374-5 US$90 £59978-1-78326-375-2(ebook) US$117 £77

Random Processes by Exampleby Mikhail Lifshits (St. Petersburg State University, Russia & Linköping University, Sweden)

Key Features: A thorough choice of sel f-contained material packed in a small volume enabling the reader to focus on really important issues and reach the frontline of research in a pretty short timeMain examples explaining the theory originating from the modern research fieldHandling full scale examples in an in-depth manner (unusual for a textbook) brings in a touch of research work in an otherwise routine learning method

Readership: Graduate students and researchers in probability & statistics.

232pp Apr 2014978-981-4522-28-1 US$65 £43978-981-4522-29-8(ebook) US$85 £56


28

Spectral Theory of Large Dimensional Random Matrices and Its Applications to Wireless Communications and Finance Statistics

Random Matrix Theory and its Applicationsby Zhidong Bai (Northeast Normal University, China & National University of Singapore, Singapore), Zhaoben Fang (University of Science and Technology of China, China) & Ying-Chang Liang (The Singapore Infocomm Research Institute, Singapore)

The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and Applications to finance.

Readership: Graduate students and researchers in random matrices.

232pp Mar 2014978-981-4579-05-6 US$95 £63978-981-4579-06-3(ebook) US$124 £82


Series on Concrete and Applicable Mathematics - Vol 13Problems in Probability (2nd Edition)by T M Mills (La Trobe University, Australia & Loddon Mallee Integrated Cancer Service, Australia)

Reviews of the First Edition:“A key feature of the book is that many problems are in fact small guided research projects. The research work involved in solving the problems will enhance the student’s library research skills.”


Readership: Undergraduates and lecturers in probability.

192pp Dec 2013978-981-4551-45-8 US$46 £30

Statistical Tests of Nonparametric HypothesesAsymptotic Theoryby Odile Pons (French National Institute for Agronomical Research, France)

An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman – Pearson and LeCam’s theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions.

Readership: Researchers and graduates in the field of probability and statistics, and biomathematics.

304pp Dec 2013978-981-4531-74-0 US$98 £65978-981-4531-75-7(ebook) US$127 £85

:: Bestselling TextbookDesign and Analysis of Experimentsby Arjun K Gupta (Bowling Green State University, USA), D G Kabe

The design of experiments holds a central place in statistics. The aim of this book is to present in a readily accessible form certain theoretical results of this vast field. This is intended as a textbook for a one-semester or two-quarter course for undergraduate seniors or first-year graduate students, or as a supplementary resource. Basic knowledge of algebra, calculus and statistical theory is required to master the techniques presented in this book. To help the reader, basic statistical tools that are needed in the book are given in a separate chapter. Mathematical results from Modern Algebra which are needed for the construction of designs are also given. Wherever possible the proofs of the theoretical results are provided.

Readership: Undergraduate and graduate students in statistics.

308pp Sep 2013978-981-4522-53-3 US$68 £45

Random Walk in Random and Non-Random Environments (3rd Edition)by Pál Révész (Technische Universität Wien, Austria & Rényi Institute Budapest, Hungary)

Reviews of the Previous Editions: “This book tells a very personal and exciting story from the point of view of one of the dominant contributors to the study of random walks, and will be of interest to those looking for intriguing open problems in the theory of random walks and associated strong limit laws.”


Readership: Graduate students and researchers in probability theory and statistical physics.

420pp May 2013978-981-4447-50-8 US$86 £57978-981-4447-51-5(ebook) US$112 £74


Introduction to Stochastic Calculus with Applications (3rd Edition)by Fima C Klebaner (Monash University, Australia)

This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and engineering. Not everything is proved, but enough proofs are given to make it a mathematically rigorous exposition. This book may be used as a textbook by graduate and advanced undergraduate students in stochastic processes, financial mathematics and engineering. It is also suitable for researchers to gain working knowledge of the subject. It contains many solved examples and exercises making it suitable for self study.

Readership: Academics, mathematicians, advanced undergraduates, graduates, practitioners in finance, risk managers and electrical engineers.

452pp Mar 2012978-1-84816-831-2 US$98 £65978-1-84816-832-9(pbk) US$58 £38

29

STOCHASTIC ANALYSISMethods and Applications of White Noise Analysis in Interdisciplinary Sciencesby Christopher C Bernido & M Victoria Carpio-Bernido (Central Visayan Institute Foundation, Philippines)

This book presents the white noise stochastic calculus, originated by T Hida, as a novel and powerful tool in investigating physical and social systems. The calculus, when combined with Feynman’s summation-over-all-histories, has opened new avenues for resolving cross-disciplinary problems. Applications to real-world complex phenomena are further enhanced by parametrizing non-Markovian evolution of a system with various types of memory functions. This book presents general methods and applications to problems encountered in complex systems, scaling in industry, neuroscience, polymer physics, biophysics, time series analysis, relativistic and nonrelativistic quantum systems.

Readership: Researchers in stochastic analysis, mathematical modeling and complex systems.

250pp Dec 2014978-981-4569-11-8 US$88 £58978-981-4569-12-5(ebook) US$114 £75

Continuous-Time Markov ChainsQ-Matrix Problemby Hou Zhenting, Li Junping (Central South University, P R China) & Chen Anyue (University of Liverpool, UK & University of Hong Kong, Hong Kong)

This book reports the recent progress in the field of continuous-time Markov chains (CTMCs), with a comprehensive and extensive discussion on its general theory and applications. It covers the properties of Q-matrix and transition function as well as the existence and uniqueness of Q-processes in stable and unstable cases. Monotonity, recurrency and ergodicity criteria are presented in this book. It also gives some important conclusions regarding the transiency properties, including invariant measures and quasi-limiting distributions for some important Q-processes.

Readership: Researchers interested in the area of stochastics.

400pp Dec 2014978-981-283-806-3 US$77 £53

Peking University Series in Mathematics - Vol 5Arbitrage, Credit and Informational Risksedited by Caroline Hillairet (Ecole Polytechnique, France), Monique Jeanblanc (Universitéd›Evry, France) & Ying Jiao (UniversitéLyon I, France)

This book contains a collection of research papers in mathematical finance covering recent advances in arbitrage, credit and asymmetric information risks. These subjects have attracted academic and practical attention, in particular after the international financial crisis. The volume is split into three parts which treat each of these topics.

Readership: Advanced undergraduates, graduates and researchers in financial mathematics.

276pp May 2014978-981-4602-06-8 US$78 £51978-981-4602-07-5(ebook) US$101 £66

Real and Stochastic AnalysisCurrent Trendsedited by M M Rao (University of California at Riverside, USA)

This book presents the current status and research trends in Stochastic Analysis. Several new and emerging research areas are described in detail, highlighting the present outlook in Stochastic Analysis and its impact on abstract analysis. The book focuses on treating problems in areas that serve as a launching pad for continual research.

Readership: Graduate students and researchers in Probability and Stochastic Analysis.

576pp Jan 2014978-981-4551-27-4 US$155 £102978-981-4551-28-1(ebook) US$202 £133

Advanced Series on Statistical Science and Applied Probability - Vol 18Analysis for Diffusion Processes on Riemannian Manifoldsby Feng-Yu Wang (Beijing Normal University, China & Swansea University, UK)

Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments.

Readership: Graduate students, researchers and professionals in probability theory, differential geometry and partial differential equations.

392pp Nov 2013978-981-4452-64-9 US$138 £91978-981-4452-65-6(ebook) US$179 £118

Three Classes of Nonlinear Stochastic Partial Differential Equationsby Jie Xiong (University of Macau, China & The University of Tennessee, Knoxville, USA)

The study of measure-valued processes in random environments has seen some intensive research activities in recent years whereby interesting nonlinear stochastic partial differential equations (SPDEs) were derived. This volume provides an introduction to the new techniques and concepts recently developed for the study of such SPDEs, with the aim of attracting more researchers into this exciting and young area of research.

Readership: Graduate students and researchers in the area of stochastic processes and applications.

176pp Jun 2013978-981-4452-35-9 US$68 £45978-981-4452-36-6(ebook) US$88 £58


30

Algebra & Number Theory Applied Mathematics

ALGEBRA COLLOQUIUM (AC)Print ISSN: 1005-3867

http://www.worldscientific.com/ac

This is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. This Journal carries original research articles of high level in the field of pure and applied algebra. Papers from related areas that have applications to algebra are also considered for publication. It aims to reflect the latest developments in algebra and promote international academic exchanges.

Honorary Editor-in-ChiefZhexian Wan, Chinese Academy of Sciences, China

Editor-in-ChiefJiping Zhang, Peking University, China

International Journal of Algebra and Computation (IJAC)Print / Online ISSN: 0218-1967 / 1793-6500

http://www.worldscientific.com/ijac

This journal publishes original papers in mathematics in general, but gives a preference to those in the areas of mathematics represented by the editorial board. Fields of Interest include Combinatorial group theory and semigroup theory; Universal algebra; Algorithmic and computational problems in algebra; Theory of automata; Formal language theory; Theory of computation and Theoretical computer science.

Managing EditorM Sapir, Vanderbilt University, USA

International Journal Of Number Theory (IJNT)Print / Online ISSN: 1793-0421 / 1793-7310

http://www.worldscientific.com/ijnt

This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.

Managing EditorsBruce C Berndt, University of Illinois, Urbana-Champaign, USA R Sujatha, The University of British Columbia, Canada Umberto Zannier, Scuola Normale Superiore, Italy

Journal of Algebra and Its Applications (JAA) Print / Online ISSN: 0219-4988 / 1793-6829

http://www.worldscientific.com/jaa

This journal publishes papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline.

Executive EditorsS K Jain, Ohio University, USA and King Abdulaziz University, Saudi Arabia S R López-Permouth, Ohio University, USA

International Journal of Biomathematics (IJB) Print / Online ISSN: 1793-5245 / 1793-7159

http://www.worldscientific.com/ijb

The goal of this journal is to present the latest achievements in biomathematics, facilitate international academic exchanges and promote the development of biomathematics. Its research fields include mathematical ecology, infectious disease dynamical system, biostatistics and bioinformatics.

Editor-in-ChiefLansun Chen, Acade Academy of Mathematics and System Sciences, China

Mathematical Models and Methods in Applied Sciences (M3AS)

Print / Online ISSN: 0218-2025 / 1793-6314http://www.worldscientific.com/m3as

The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems.

EditorsNicola Bellomo, Politecnico di Torino, Italy Franco Brezzi, IMATI - CNR, Italy

JOURNALS

31

Analysis & Differential Equattions Geometry & TopologyCombinatorics & Graph Theory

Journal of Hyperbolic Differential Equations (JHDE)

Print / Online ISSN: 0219-8916 / 1793-6993http://www.worldscientific.com/jhde

This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.

Managing EditorsPhilippe G LeFloch, Université Pierre et Marie Curie (Paris 6), France

Jian-Guo Liu, Duke University, USA

International Journal of Geometric Methods in Modern Physics (IJGMMP) Print / Online ISSN: 0219-8878 / 1793-6977

http://www.worldscientific.com/ijgmmp

This journal publishes short communications, research and review articles devoted to the application of geometric methods (including differential geometry, algebraic geometry, global analysis and topology) to quantum field theory, non-perturbative quantum gravity, string and brane theory, quantum mechanics, semi-classical approximations in quantum theory, quantum thermodynamics and statistical physics, quantum computation and control theory.

Managing Editor Salvatore Capozziello, Università Di Napoli “Federico II”, Italy

Journal of Knot Theory and Its Ramifications (JKTR) Print / Online ISSN: 0218-2165 / 1793-6527

http://www.worldscientific.com/jktr

This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. Papers include new research in the theory of knots and links, and their applications; new researches in related fields; tutorial and review papers, etc.

Editor-in-ChiefL H Kauffman, University of Illinois, Chicago, USA

International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP)

Print / Online ISSN: 0219-6913 / 1793-690Xhttp://www.worldscientific.com/ijwmip

This journal considers the current state-of-the-art theories of wavelet analysis, multiresolution and information processing as well as their applications. It aims at publishing papers in both the theories and applications, concentrating on the practical applications of the wavelets, multiresolution and information processing to all areas in science and engineering.

Editor-in-ChiefYuan Y Tang, Chongqing University, China and University of Macau, China

Managing Editor Luoqing Li, Hubei University, China

Analysis and Applications (AA) Print / Online ISSN: 0219-5305 / 1793-6861

http://www.worldscientific.com/aa

This journal publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of avariations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.

Editors-in-Chief Tong Yang, City University of Hong Kong, Hong KongDing-Xuan Zhou, City University of Hong Kong, Hong Kong

Discrete Mathematics, Algorithms and Applications (DMAA)Print / Online ISSN: 1793-8309 / 1793-8317

http://www.worldscientific.com/dmaa

The aim of this journal is to advance and promote the theory and applications of discrete mathematics, which is a research area in mathematics with applications in computer science, industrial engineering, bio-informatics, chemistry and communication networks. The journal encourages contributions from the two important parts of discrete mathematics, graph theory and combinatorics. The former includes structural graph theory, extremal graph theory, algebraic graph theory, random graphs and internet graphs. The latter consists of combinatorial design, combinatorial enumeration, coding theory, combinatorial probabilistic method, etc.

Co-Editors-in-ChiefDing-Zhu Du, University of Texas, Dallas, USAJinlong Shu, East China Normal University, China

JOURNALS


32

JOURNALS

Journal of Topology and Analysis (JTA)Print / Online ISSN: 1793-5253 / 1793-7167

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This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.

Managing EditorsShmuel Weinberger, University of Chicago, USA Guoliang Yu, Texas A&M University, USA

Journal of Mathematical Logic (JML)Print / Online ISSN: 0219-0613 / 1793-6691

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This journal provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.

Managing EditorsChitat Chong, National University of Singapore Qi Feng, Chinese Academy of Sciences, China and National University of Singapore Theodore A Slaman, University of California, Berkeley, USA W Hugh Woodin, Harvard University, USA

Stochastics and Dynamics (SD) Print / Online ISSN: 0219-4937 / 1793-6799

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This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system’s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.

Editor-in-ChiefManfred Denker, Penn State University, USA

Managing EditorJinqiao Duan, Illinois Institute of Technology

Volume: 21, Number: 01n02 FREE Access Open Systems & Information Dynamics (OSID)

Print / Online ISSN: 1230-1612 / 1793-7191http://www.worldscientific.com/osid

The aim of this journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.

Editor-in-ChiefM Ohya, Tokyo University of Science, Japan

Reviews in Mathematical Physics (RMP) Print / Online ISSN: 0129-055X / 1793-6659

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This journal fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers—introductory and survey papers—are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics.

Founding EditorHuzihiro Araki, Kyoto University, Japan

Editor-in-ChiefVolker Bach, TU Braunschweig, Germany

Infinite Dimensional Analysis, Quantum Probability

and Related Topics (IDAQP)Print / Online ISSN: 0219-0257 / 1793-6306

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In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields.

Managing EditorL Accardi, Università di Roma Tor Vergata, Italy

Editor-in-ChiefT Hida, Nagoya University and Meijo University, Japan

Mathematics PhysicsStochastics

AnalysisLogic And Set Theory

Geometry & Topology

33

Probability & Statistics General Mathematics

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Asian-European Journal of Mathematics (AEJM) Print / Online ISSN: 1793-5571 / 1793-7183

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This is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical science and logic.

Honorary Chief EditorWu Wentsun, Chinese Academy of Sciences, China

Chief EditorK P Shum, Yunnan University, China

Random Matrices: Theory and Applications (RMTA)Print / Online ISSN: 2010-3263 / 2010-3271

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This journal will publishes high quality papers on all aspects regarding random matrices, both theory and applications. These areas will include, but not be limited to, spectral theory, new ensembles (those not generally considered in classical random matrix theory), and applications to a wide variety of areas, including high dimensional data analysis, wireless communications, finance, and economics. Only papers that contain original, innovative and correct results, which deepen our understanding on the theory of random matrices and its applications, will be considered for publications.

Editors-in-Chief Zhidong Bai, Northeast Normal University, China and National University of SingaporeYang Chen, University of Macau, China

Communications in Contemporary Mathematics (CCM)

Print / Online ISSN: 0219-1997 / 1793-6683http://www.worldscientific.com/ccm

With traditional boundaries between various specialized fields of mathematics becoming less and less visible, this journal presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.

Editors-in-ChiefHaïm Brezis, Rutgers University, USA Yi-Zhi Huang, Rutgers University, USA

International Journal of Mathematics (IJM) Print / Online ISSN: 0129-167X / 1793-6519

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The International Journal of Mathematics publishes original research papers of high quality in all topics of pure mathematics. The journal has been published monthly. The first issue appeared in March 1990.

Founding Advisor S S Chern, Chern Institute of Mathematics, Nankai University, China

Chair Yasuyuki Kawahigashi, University of Tokyo, Japan

FREE ACCESS till 31 Mar 2014

International Journal of Energy and Statistics (IJES)Print / Online ISSN: 2335-6804 / 2335-6812

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This journal is a multi-disciplinary, quarterly, peer-reviewed journal covering all areas of energy (including, but not limited to, resources, applications and services, regulation, policy, sustainability, maintenance, renewable energy, technology) and statistics (applied and theoretical). The articles with novel contributions to the theory and/or applied statistics with the application related to energy are strongly encouraged. IJES is the official publication of the Institute for International Energy Studies.

Founding Editor and Editor-in-ChiefHossein Hassani, Bournemouth University, UK

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ProceedingsTITLE AUTHOR PUB DATE ISBN13 US$ £

- MONDAINI RUBEM P

TOPICS ON REAL AND COMPLEX SINGULARITIES KOIKE SATOSHI ET AL

GEOMETRIC, ALGEBRAIC AND TOPOLOGICAL METHODS FOR QUANTUM FIELD

ALVAREZ LOPEZ JESUS ET AL

- MAEDA SADAHIRO ET AL

-

AND ITS RELATED FIELDS

ADACHI TOSHIAKI ET AL

JENSEN ARNE

THE XXIX INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN BAI CHENGMING ET AL

- MONDAINI RUBEM P

IX TARTU CONFERENCE ON MULTIVARIATE STATISTICS AND XX INTERNATIONAL WORKSHOP ON MATRICES AND STATISTICS

KOLLO TONU

SOME RECENT ADVANCES IN MATHEMATICS AND STATISTICS - PROCEEDINGS OF

LI XING

CHINA-JAPAN SEMINARKANEMITSU SHIGERU ET AL

-

-

DITO GIUSEPPE ET AL

EMERGING TOPICS ON DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS -

CONFERENCEFAGNOLA FRANCO ET AL

SEMIZ IBRAHIM ET AL

Nakamura Hiroaki

SECOND CREST-SBM INTERNATIONAL CONFERENCE

- MONDAINI RUBEM P

OPERADS AND UNIVERSAL ALGEBRA - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE

BAI CHENGMING ET AL

-VANCES IN ALGEBRAIC STRUCTURES

WORKSHOPBAI CHENGMING ET AL

EXPLORING NEW STRUCTURES AND NATURAL CONSTRUCTIONS IN MATHEMATI- HASEGAWA KOJI ET AL

TERAO HIROAKI ET AL

AIZPURU TOMAS

PEREZ-FERNANDEZ F JAVIER & RAMBLA-BARRENO FERNANDO

BIANCHI MARIAGRAZIA ET AL

-

- SIDDIQI ABUL HASAN ET AL

EXNER PAVEL

- MONDAINI RUBEM P

CONFERENCEREBOLLEDO ROLANDO ET AL

NONPARAMETRIC STATISTICS AND MIXTURE MODELS: A FESTSCHRIFT IN HONOR OF THOMAS P HETTMANSPERGER

HUNTER DAVID, ROSEN-BERGER JAMES & RICHARDS DONALD

35

Advanced Calculus (Revised Edition) ...................................................................... 9 Advances in Algebraic Geometry Codes ............................................................... 13 Advances in the Homotopy Analysis Method ........................................................ 12 Advances in Wave Turbulence .............................................................................. 24 A Friendly Approach to Complex Analysis ............................................................ 15 A Guide to Distribution Theory and Fourier Transforms ......................................... 11 Algebraic Geometry Modeling in Information Theory ............................................ 13 Analysis for Diffusion Processes on Riemannian Manifolds ................................... 29 Analytical Mechanics............................................................................................ 23 An Introduction to Differential Equations .............................................................. 21 An Introduction to Differential Manifolds .............................................................. 20 An Introduction to Pseudo-Differential Operators (3rd Edition) ............................... 9 A One-Dimensional Introduction to Continuum Mechanics.................................. 13 A Participatory Approach to Modern Geometry ..................................................... 18 Applications of Contact Geometry and Topology in Physics .................................. 19 Applications of Epidemiological Models to Public Health Policymaking ............... 21 Approximation of Set-Valued Functions ................................................................ 12 Arbitrage, Credit and Informational Risks .............................................................. 29 A Walk Through Combinatorics ............................................................................ 14 Basic Language of Mathematics ............................................................................ 17 Basic Theory of Fractional Differential Equations ..................................................... 7 Benford’s Law ....................................................................................................... 27 Bochner – Riesz Means on Euclidean Spaces ........................................................ 10 Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras (2nd Edition) ........................................................................................... 24

Boolean Functions: Cryptographic And Combinatorial Properties ......................... 13 Calculating Catastrophe ........................................................................................ 22 Combinatorial Problems in Mathematical Competitions ....................................... 14 Complex Analysis ................................................................................................. 14 Complex Analytic Geometry ................................................................................. 14 Complex Quantum Systems .................................................................................. 24 Computational and Algorithmic Linear Algebra and N-Dimensional Geometry ....... 4 Computational Methods in Nonlinear Analysis ..................................................... 25 Concise Calculus .................................................................................................... 7 Connections, Sprays and Finsler Structures ........................................................... 19 Continuous-Time Markov Chains .......................................................................... 29 Contributions to the Theory of Zeta-Functions ......................................................... 4 Convergence Foundations of Topology .................................................................... 7 Counting ............................................................................................................... 14 Data Analysis for Network Cyber-Security ............................................................. 27 Design and Analysis of Experiments ...................................................................... 28 Developing Life Skills Through Math and Science Games ..................................... 17 Differential Games ................................................................................................ 25 Differential Geometry for Physicists and Mathematicians ...................................... 19 Differential Geometry from Singularity Theory Viewpoint ..................................... 18 Differential Operators on Spaces of Variable Integrability ........................................ 7 Dirichlet – Dirichlet Domain Decomposition Methods for Elliptic Problems ......... 25 Doing Mathematics ................................................................................................ 4 Dynamics of Cancer ............................................................................................. 21 Elementary Fluid Mechanics ................................................................................. 15 Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces ..... 10 Elements of Stochastic Modelling (2nd Edition) ..................................................... 27 E-Recursion, Forcing and C*-Algebras ................................................................... 20 Evolution Equations with a Complex Spatial Variable .............................................. 8 Festschrift Masatoshi Fukushima ........................................................................... 26 Fifty Years of Mathematical Physics ....................................................................... 22 First-Passage Phenomena and Their Applications ................................................... 22 Fixed Point Theorems and Their Applications .......................................................... 5 Forcing for Mathematicians ................................................................................... 20 Fractional Calculus and Waves in Linear Viscoelasticity ........................................ 21 Frontiers in Differential Geometry, Partial Differential Equations and Mathematical Physics ................................................................................................................... 8

Functional Calculi ................................................................................................ 11 Functional Equations on Groups ............................................................................. 5 Functional Interpretations ..................................................................................... 20 Gibbs Measures on Cayley Trees ........................................................................... 23 Half-Discrete Hilbert-Type Inequalities ................................................................... 9 Harmonic and Spectral Analysis ............................................................................. 9 Hilbert – Huang Transform and Its Applications (2nd Edition) ................................ 12 Homological Algebra .............................................................................................. 6 Hopf Algebras ......................................................................................................... 6 How Chinese Teach Mathematics ......................................................................... 16 How to Measure the Infinite.................................................................................... 6 Infinite-Dimensional Dynamical Systems in Atmospheric and Oceanic Science ..... 8 Infinity and Truth ................................................................................................... 20 Introduction to Stochastic Calculus with Applications (3rd Edition) ....................... 28 Introductory Topology ........................................................................................... 19 Inverse Problems................................................................................................... 25

Investigating the Pedagogy of Mathematics ........................................................... 16 Jim Totten’s Problems of the Week ........................................................................ 17 Lagrangian and Hamiltonian Mechanics ............................................................... 24 Learning Experiences to Promote Mathematics Learning ....................................... 17 Lecture Notes on Algebraic Structure of Lattice-Ordered Rings ............................... 4 Lecture Notes on Turbulence ................................................................................ 15 Lectures on the Theory of Group Properties of Differential Equations ..................... 5 Lesson Study ......................................................................................................... 16 Linear Algebra ........................................................................................................ 5 Linear Algebra with Applications ............................................................................ 4 Linear Second Order Elliptic Operators ................................................................. 10 Making Mathematics More Practical ..................................................................... 17 Mathematical Foundation and Applications of the P and H-P Finite Element Methods ............................................................................................................... 25

Mathematical Olympiad in China (2009-2010) ..................................................... 17 Mathematics and Its Teaching in the Southern Americas........................................ 16 Mathematics Education in Korea ........................................................................... 16 Matrix Spaces and Schur Multipliers ..................................................................... 10 Measure Theory and Functional Analysis .............................................................. 10 Medical Statistics and Computer Experiments (2nd Edition, with CD-ROM) .......... 26 Methods and Applications of White Noise Analysis in Interdisciplinary Sciences .. 29 Modern Differential Geometry for Physicists (2nd Edition) .................................... 24 Morse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundary .............................................................................................................. 18

Multi-Dimensional Langlands Functoriality Principle .............................................. 4 Multifractional and Anisotropic Stochastic Fields .................................................. 26 Multiscale and Multiresolution Approaches in Turbulence .................................... 15 Navier-Stokes Equations in Planar Domains .......................................................... 11 New Developments in the Additive Theory of Prime Numbers ................................ 4 Nonlinear Mixture Models .................................................................................... 26 Notes on Forcing Axioms ...................................................................................... 20 Number Theory and Its Applications ....................................................................... 6 Numerical Solution of the Schrö dinger Equation .................................................. 25 Oblique Derivative Problems for Elliptic Equations ............................................... 10 Optimal Transport Networks in Nature .................................................................. 21 Ordinary Differential Equations with Applications (2nd Edition) ............................ 10 Origamics ............................................................................................................. 17 Partial Differential Equations for Scientists and Engineers ...................................... 12 Partial Differential Equations Methods, Applications and Theories ......................... 11 Partitions ............................................................................................................... 26 Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae (2nd Edition) ......... 23 Primary Mathematics Standards for Pre-Service Teachers in Chile ......................... 16 Problems and Proofs in Real Analysis ...................................................................... 8 Problems and Solutions in Mathematics (2nd Edition) ........................................... 20 Problems in Probability (2nd Edition) .................................................................... 28 Random Processes by Example ............................................................................. 27 Random Walk in Random and Non-Random Environments (3rd Edition) .............. 28 Real and Stochastic Analysis ................................................................................. 29 Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis ......... 11 Schwarz’s Lemma From a Differential Geometric Viewpoint ................................. 15 Scientific Essays in Honor of H Pierre Noyes on the Occasion of His 90th Birthday .................................................................................................. 23

Selected Papers of Masatake Kuranishi .................................................................. 19 Series on Partial Differential Equations and Applications ........................................ 7 Solution Set of Semilinear Elliptic Equations ........................................................... 7 Solving Problems in Geometry .............................................................................. 18 Space, Time and Matter ......................................................................................... 22 Spanning Tree Results for Graphs and Multigraphs ................................................ 13 Spatial Branching in Random Environments and with Interaction .......................... 26 Special Functions in Fractional Calculus and Related Fractional Differintegral Equations ................................................................................................................ 7

Spherical Harmonics in p Dimensions .................................................................. 23 Splines and Compartment Models ........................................................................ 21 Statistical Paradigms .............................................................................................. 27 Statistical Tests of Nonparametric Hypotheses ....................................................... 28 The Fence Methods ............................................................................................... 26 The Golden Ratio and Fibonacci Numbers............................................................ 12 The KAM Story ........................................................................................................ 9 The Minkowski and Conformal Superspaces ......................................................... 22 The Segal-Bargmann Transform on Euclidean Space and Generalizations ............... 6 Theta Functions and Knots .................................................................................... 22 The Theory of Multiple Zeta Values with Applications in Combinatorics.................. 5 Three Classes of Nonlinear Stochastic Partial Differential Equations ...................... 29 Topology with Applications................................................................................... 19 Transformation Groups and Lie Algebras ............................................................... 24 Undergraduate Convexity ....................................................................................... 6 Wavelet Analysis and Its Applications ................................................................... 12 Weak Convergence and Its Application ................................................................. 27

Tick the titles and email to [email protected] to recommend to your librarian.


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Adams Niall M ...........................................................27Akahori Takao .............................................................19Amson John C ............................................................23Ang Ying Zhen ............................................................17Argyros Ioannis K .......................................................25Ayache Antoine ..........................................................26Bai Zhidong ................................................................28Baker Roger ..................................................................5Barden Dennis ............................................................20Basu Ayanendranath ...................................................27Ben-artzi Matania .......................................................11Benci Vieri ....................................................................6Bernido Christopher C ................................................29Biebler Karl-ernst Erich ...............................................21Bóna Miklós ...............................................................14Borovkov Konstantin ...................................................27Bosch Carlos ..............................................................11Cai Jinfa ......................................................................16Calkin Melvin G .........................................................24Carpio-bernido Maria Victoria ....................................29Chandia Eugenio ........................................................17Chen Anyue ................................................................29Chen Hongbin ............................................................26Chen Zhen-qing .........................................................26Chong Chitat ..............................................................20Croisille Jean Pierre ....................................................11Dartnell Pablo ............................................................17Debnath Lokenath ........................................................9Deck Sebastien ...........................................................15Di Nasso Mauro ...........................................................6Diller Justus ................................................................20Dindyal Jaguthsing ......................................................17Dolecki Szymon ...........................................................7Dumas H Scott .............................................................9Dunlap Richard A .......................................................12Dyn Nira ....................................................................12Edmunds David E .........................................................7Efthimiou Costas .........................................................23Eie Minking ..................................................................5Englander Janos ..........................................................26Fan Lianghuo ..............................................................16Fang Ji-qian ................................................................27Fang Zhaoben .............................................................28Farkhi Elza ..................................................................12Farmakis Ioannis ...........................................................5Felmer Patricio ............................................................17Feng Qi ......................................................................20Feng Zhilan ................................................................21Fioresi Rita .................................................................22Fishelov Dalia ............................................................11Fonacier Josefina C .....................................................18Fournais Soren ............................................................14Frye Christopher ........................................................ 23Gal Ciprian G ...............................................................8Gal Sorin G ..................................................................8Ge Mo-lin ...............................................................8, 22Gelca Razvan .............................................................22Goldstein Jerome A.......................................................8Gomez Thomas ..........................................................15Gong Sheng ..................................................................7Gong Youhong ..............................................................7Goodaire Edgar ............................................................5Grandis Marco .............................................................6Grosche Christian .......................................................23Gross Daniel J ............................................................13Guo Benqi ..................................................................25Guo Boling ...................................................................8Gupta Arjun K ............................................................28Haga Kazuo ................................................................18Han Inki .....................................................................16Hang Kim Hoo ...........................................................18Hattori Harumi ...........................................................11He Tian-xiao ...............................................................12He Xiaodi .....................................................................8Heard Nicholas A .......................................................27Hillairet Caroline ........................................................29Hilout Said .................................................................25Hironaka Heisuke .......................................................19Ho Foo Him ...............................................................17Hong Jiaxing .................................................................8Hood Susan ..................................................................9Hou Zhenting .............................................................29Hsu Sze-bi ..................................................................10Huang Daiwen .............................................................8Huang Norden E .........................................................12Hwang Frank Kwang-ming .........................................26Ibragimov Nail H ...................................................5, 24Ikeda Kazim Ilhan .........................................................4Inprasitha Maitree .......................................................16Isham Chris J ..............................................................24Isoda Masami .......................................................16, 18Ito Kazufumi ...............................................................25Izumiya Shyuichi ........................................................18

Jacob Niels .................................................................26Jeanblanc Monique ....................................................29Jiang Jiming ................................................................26Jiao Ying .....................................................................29Jin Bangti ....................................................................25Kabe D G ...................................................................28Kac Victor G ...............................................................24Kambe Tsutomu ..........................................................15Kanemitsu Shigeru ....................................................4, 6Kappraff Jay ................................................................18Katz Gabriel ...............................................................18Kauffman Louis H .......................................................23Kaur Berinderjeet ........................................................17Kertész David Cs ........................................................19Kholodenko Arkady L .................................................19Khoury Joseph ............................................................17Kim Jinho ...................................................................16Kim Kang-tae ..............................................................15Kizilova Natalya .........................................................21Klebaner Fima C .........................................................28Koh Khee-meng ..........................................................14Komarova Natalia .......................................................21Komatsu Gen ..............................................................19Korneev Vadim Glebiovich .........................................25Kossovsky Alex Ely......................................................27Krieger Martin H ...........................................................4Kuttler Kenneth .............................................................5Ladde Anilchandra G ..................................................22Ladde Gangaram S .....................................................22Lang Jan .......................................................................7Langer Ulrich .............................................................25Lauritzen Niels .............................................................6Lee Hanjin ..................................................................15Lee Joong Kwoen ........................................................16Lee Peng Yee ...............................................................17Leong Yew Hoong ......................................................17Lewin Renato .............................................................17Lewis Joan ....................................................................9Li Changpin ................................................................11Li Fuhuo .......................................................................6Li Junping ...................................................................29Li Shiqi .......................................................................16Li Ta-tsien ...............................................................8, 20Liang Ying-chang ........................................................28Liao Shijun .................................................................12Lieberman Gary M .....................................................11Lifshits Mikhail ...........................................................27Lim Beng Lee ..............................................................17Lin En-bing .................................................................12Lin Zhengyan .............................................................27Liu Jianya......................................................................4Lledo Maria Antonia ...................................................22Loomis Lynn Harold .....................................................9Lopéz Alejandro .........................................................17Lopez-gomez Julian ....................................................10Lovas Rezsö L .............................................................19Lu Shanzhen ...............................................................10Ma Jingjing ...................................................................4Mainardi Francesco ....................................................21Maitra Subhamoy .......................................................13Martinez Claudio ........................................................17Martínez Salomé ........................................................17Martínez-moro Edgar ..................................................13Mcloughlin John Grant ...............................................17Mena Arturo ...............................................................17Mendez Osvaldo ..........................................................7Metzler Ralf ................................................................23Mills Terry M ..............................................................28Miyajima Kimio ..........................................................19Mokhov Alona ............................................................12Moller Jacob Schach ...................................................14Mortad Mohammed Hichem ......................................18Moskowitz Martin ........................................................5Munuera Carlos ..........................................................13Murty Katta Gopalakrishna ...........................................4Mynard Frederic ...........................................................7Naimpally Somashekhar A..........................................19Namba Makoto ..........................................................19Nazarenko Sergei .......................................................24Ng Li Yang ..................................................................17Ng Wenbin Reico Maynard ........................................17Nguyen Thuan ............................................................26Niemi Antti .................................................................22Olafsson Gestur ............................................................7Ortíz Andrés ...............................................................17Oshanin Gleb .............................................................23Ovsyannikov Lev Vasilyevich ........................................5Papastavridis John G ...................................................23Park Mangoo ..............................................................16Persson Lars-erik .........................................................10Peters James F .............................................................19Phong Duong H .........................................................19Pons Odile..................................................................28

Popa Nicolae ..............................................................10Quek Khiok Seng ........................................................17Radford David E ...........................................................6Raina Ashok K ............................................................24Raina R K .....................................................................7Rao Malempati Madhusudana ....................................29Rao Murali .................................................................14Redner Sidney ............................................................23Révész Paí ..................................................................28Reyes Cristián .............................................................17Roberts Tony A J ..........................................................13Romero Fuster Maria Del Carmen ..............................18Rosario Hector ...........................................................16Rothblum Uriel R .......................................................26Rozhkovskaya Natasha ...............................................24Rozikov Utkir A ..........................................................23Ruano Diego ..............................................................13Ruas Maria Aparecida Soares......................................18Saccoman John T ........................................................13Sagaut Pierre ..............................................................15Samanta Tapas ............................................................27Samoilenko Anatoliy M ..............................................10Sasane Amol ...............................................................15Sasane Sara Maad .......................................................15Schäffer Juan Jorge ......................................................16Schumitzky Alan .........................................................26Schwarze Gloria .........................................................17Scott Patrick ................................................................16Seah Wee Khee ..........................................................17Sen Dipak K ...............................................................22Sengupta Ashis ...........................................................27Shawyer Bruce............................................................17Shen Samuel S P .........................................................12Shi Junping ...................................................................7Shrira Victor................................................................24Siedentop Heinz .........................................................24Simos Theodore E .......................................................25Slaman Theodore A.....................................................20Srivastava Hari M..........................................................7Stephenson Geoffrey ..................................................12Sternberg Shlomo Zvi ...................................................9Stetkae r Henrik ........................................................5, 14Strichartz Robert .........................................................11Suffel Charles L ...........................................................13Suwa Tatsuo ................................................................14Swartz Charles W .......................................................11Székelyhidi Lászlo ........................................................9Szilasi József ...............................................................19Takeda Masayoshi ......................................................26Tari Farid ....................................................................18Tatarinova Tatiana V ....................................................26Tay Eng Guan .......................................................14, 17Teplinsky Yuriy ............................................................10Terracol Marc .............................................................15Thomas Charles B .......................................................20Todorcevic Stevo ........................................................20Toh Pee Choon ...........................................................17Toh Tin Lam ................................................................17Tsukada Haruo .............................................................4Uemura Toshihiro .......................................................26Varas Leonor ..............................................................17Vargas Jose G .............................................................19Vogeli Bruce R ............................................................16Wang Feng-yu ............................................................29Wang Haibin ..............................................................18Wang Hanchao ..........................................................27Wang Nianliang ...........................................................6Wang-iverson Patsy.....................................................16Weaver Nik ..........................................................10, 21Wodarz Dominik ........................................................21Wodny Michael ..........................................................21Wong Man-wah ............................................................9Wong Ngai-ying .........................................................16Woo Gordon ..............................................................22Woodin W Hugh ........................................................20Wu Yujiang .................................................................11Xiong Bin ...................................................................17Xiong Jie .....................................................................29Yamaguchi Keizo........................................................19Yan Dunyan ................................................................10Yang Bicheng ................................................................9Yang Yue .....................................................................20Yap Romina Ann Soon ................................................17Ye Ruisong ..................................................................11Yeap Ban-har ..............................................................16Yeh James J ...................................................................8Yong Jiongmin ............................................................25Zanocco Pierina .........................................................17Zhan Tao ......................................................................4Zhang Weiping .............................................................8Zhang Yao ...................................................................14Zhou Yong ....................................................................8

www.worldscientific.com

Volume 3 Contributors

1978 Israel M. Gel’fand

1993Mikhail Gromov

2001Vladimir I. Arnold

2005Gregory A. Margulis

2006/7Hillel Fürstenberg

2008Pierre R. Deligne

2008Phillip A. Griffiths


1986 Atle Selberg

1992John G. Thompson

2001Saharon Shelah

2002/3Mikio Sato

2002/3John T. Tate

2005Sergei P. Novikov

2006/7Stephen Smale

2008David Mumford

Y Sinai & E SteinPrinceton University, USA

S S ChernNankai University, China

F HirzebruchUniversität Bonn & Max-Planck-Institut für Mathematik, Bonn

edited by


1979, Jean Leray

1980, Henri Cartan

1981, Lars V. Ahlfors

1982, Lennart A. E. Carleson

1983/4, Shiing-Shen Chern

1983/4, Paul Erdös

1984/5, Kunihiko Kodaira

1986, Samuel Eilenberg

1987, Kiyoshi Ito

1988, Friedrich Hirzebruch

1988, Lars Hörmander

1990, Ennio de Giorgi

1995/6, Robert Langlands

1996/7, Joseph B. Keller


1978, Carl L. Siegel

1979, André Weil

1980, Andrei N. Kolmogorov

1981, Oscar Zariski

1982, Hassler Whitney

1982, Mark Grigor’evich Krein

1984/5, Hans Lewy

1987, Peter D. Lax

1989, Alberto P. Calderón

1989, John W. Milnor

1990, Ilya Piatetski-Shapiro

1993, Jacques Tits

1994/5, Jürgen K. Moser

1995/6, Andrew J. Wiles

1996/7, Yakov G. Sinai

1999, László Lovász

1999, Elias M. Stein

2000, Raoul Bott

776pp Sep 2000

978-981-02-3945-9US$196 £129

978-981-281-342-8(ebook)US$255

940pp Sep 2001

978-981-02-3946-6US$224 £148

978-981-281-176-9(ebook)US$291

636pp Jun 2012

978-981-4390-27-9 US$188 £124

616pp Jul 2012

978-981-4390-29-3US$182 £120

The Wolf Prize, awarded by the Wolf Foundation in Israel, often goes to mathematicians who are in their sixties or older. That is to say, the Prize honours the achievements of a lifetime.

This is the first time that documents on Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in these volumes.

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